At the beginning of the year Monica puts a set amount of money into her health benefit account. Every month she withdraws $15 from this account for her contact lenses. After 3 months she has $255 left in her account.

Write an equation in slope-intercept form to represent the relationship between the time that has passed and the amount of money left in Monica's account. Let x represent the time in months and y represent the amount of money remaining in the account.

Answers

Answer 1

Answer:

An equation in the slope-intercept form will be:

y = 15x+210

Step-by-step explanation:

We know The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the rate of change or slopeb is the y-intercept

Let x represent the time in months

Let y represent the amount of money remaining in the account.

Given that every month Monica withdraws $15 from this account for her contact lenses

Thus, the rate of change or slope = m = 15

Given that after 3 months she has $255 left in her account.

So, we take the point (3, 255)

substituting m = 15, x = 3 and y = 255 in the slope-intercept form to determine the y-intercept

y = mx+b

255 = 15(3) + b

switch sides

15(3) + b = 255

45 + b = 255

b = 255 - 45

b = 210

Now, substituting m = 15 and b = 210 in the slope-intercept form of the line equation

y = mx+b

y = 15x+210

Therefore, an equation in the slope-intercept form will be:

y = 15x+210

Related Questions

Tell whether each relationship is a function.

PLEASE I NEED THIS RIGHT NOW PLEASE HURRY

Answers

its a function , because the x dose not repeat

im doing some math homework and i have a question its there is a propotional relationship between the number of months a person had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is 47.94. The point (6,47.94) is shown on the graph below i need to take a picture of the graph to show you and the question is what is the constant of proportional in this relationship? can you help me​ its due today help

Answers

Answer:

The area of a square plot is 1600 meter square . The side of the plot is

Answer:

1600 metre square

........

51÷251=
Find the remainder

Answers

Answer:

0.20

Step-by-step explanation:

Answer/Step-by-step explanation:

How about we go bit by bit, attempt to decrease numerator to a number nearer to different of denominator which likewise ought to be measurable.

5^251/135*5^250/135*(25)^125/13Rem[5*(25)^125/13]Rem[5*(-1)^125/13]Rem[-5/13}

Answer is 8

This is an exemplary illustration of Leftover portion Hypothesis, here on the off chance that you get befuddled as a result of negative remainder, at that point attempt to compose it in easier term this way,

-5 = 13*(-1) + 8 , here 8 is remainder. Remainder can also be 13+5 = 18 by writing like this,

-5 = 13*1 -18, but again dividing -18 by 13 will yield to value which we got earlier that’s 8.

Hope this helped!

Which ordered pair, when graphed, would not show a function?

(miles per gallon, gallons in tank)
(length of shadows/time of day)
(temperature in F, temperature in C)
(number of employees, number of hours worked)

Answers

Answer:

a) miles per gallon, gallons in tank

Step-by-step explanation:

All the options show functional relationship but the first one

a) miles per gallon, gallons in tank

There is no direct relationship between these parameters as miles per gallon depends on the speed and the way of driving. This won't be a function when graphed.

b) length of shadows/time of day

Shadow depends on the time of the day and its length wont repeat at different angles. This is a function.

c) temperature in F, temperature in C

This is a function as each input will have a unique output.

d) number of employees, number of hours worked

Hours of work depends on number of employees. This is a functional relationship.

Answer:

(number of employees, number of hours worked)

Step-by-step explanation:

To rent a certain meeting room, a college charges a reservation fee of $48 and an additional fee of $8.80 per hour. The film club wants to spend less than $100.80 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.​

Answers

Answer:

6 hours

Step-by-step explanation:

48 + 8.80

56.8 + 8.80

65.6 +8.80

74.4 + 8.80

83.2 +8.80

92 + 8.80

100.8

A store is instructed by corporate headquarters to
put a markup of 25% on all items. An item costing $16 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?

Can someone help? It would be appreciated! ♡︎

Answers

Answer:

Find out  the selling price.

To prove

As given

A store manager instructs his employees to mark up all the items by 25%. An item that the store bought for $16.

25% is written in the decimal form.

= 0.25

25% of the $16= 0.25 × 16

                         = $4

Selling price of the item = Original price of item + 25% of the $16

                                       = $16 + $4

                                      = $ 20

Therefore the selling price of the item is $20.

Step-by-step explanation:

I was gonna steal the points but you seem nice. Have a good day!

there are 36 students playing tag at recess. this is six times as many as are playing hopscotch which model shows the comparison​

Answers

Answer:

6 are playing hopscotch

Step-by-step explanation:

the difference of a number squared and six

Answers

Answer:

x^2-6

Step-by-step explanation:

(3a2 + 2ab + 2b) + (5a2 − 3ab + 9)

Answers

Step-by-step explanation:

[tex] \tt{(3 {a}^{2} + 2ab + 2b) + (5 {a}^{2} - 3ab + 9})[/tex]

~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :

⤑ [tex] \tt{3 {a}^{2} + 2ab + 2b + 5 {a}^{2} - 3ab + 9}[/tex]

~Like terms are those which have the same base. Combine the like terms :

⤑ [tex] \tt{3 {a}^{2} + 5 {a}^{2} + 2ab - 3ab + 2b + 9}[/tex]

⤑ [tex] \sf{8 {a}^{2} - ab + 2b + 9}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{ ⟿ Our \: final \: answer : 8 {a}^{2} - ab + 2b + 9}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

Simplified answer is: [tex]8a^2 - ab + 2b + 9[/tex]

Step-by-step explanation:

Key skills needed for understanding: Combining Like Terms

1) You are given the equation: [tex](3a^{2} + 2ab + 2b) + (5a^{2} - 3ab + 9)[/tex]

- Since you are adding here, you can remove the parentheses.

- If you remove them it would be --> [tex]3a^2 + 2ab + 2b + 5a^2 - 3ab + 9[/tex]

2) Now we have to combine like terms in order to simplify this equation.

Combining like terms is simply combining terms with the same base (such as the terms that have "ab" or the terms that have "[tex]a^2[/tex]" or the terms that have nothing  - these terms are numbers such as 9 or 5).

You can combine 2ab and -3ab, but you cannot combine 9 and 2b. Hope you understood this concept.

3) If you combine like terms ( [tex]3a^2 + 5a^2[/tex], [tex]2ab - 3ab[/tex]) you will get a different expression: [tex]8a^2 - ab + 2b + 9[/tex].

[tex]8a^2 - ab + 2b + 9[/tex] is the answer.

Hope you understood and have a nice day!! :D

Segment BD is a midsegment of triangle AEC

Which equation could be used to find the value of x

A 39x-11=17x+6
B 39x-11=2(17x+6)
C 2(39x-11)=17x+6
D 2(39x-11)=2(17x+6)

Answers

Answer:

B 39x-11=2(17x+6)

Step-by-step explanation:

Lillian purchased a guitar from Smash Music Stores. It regularly sold
for $670, but was on sale at 10% off. She paid 8% tax. She bought it on
the installment plan and paid 15% of the total cost with tax as a down
payment. Her monthly
payments were $58 per month for one year.
a. What is the discount?
b. What is the sale price?
c. What is the sales tax?
d. What is the total cost of the guitar?
e. What is the down payment?
f. What is the total of the monthly payments?
g. What is the total she paid for the guitar on the installment
plan?
h. What is the finance charge?

Answers

The most likely answer are be and c

a step by step solution. each step has clear instructions. Like a recioe

Answers

Answer:

there is no problem to solve

Solve for t. 6t + 4 = -2​

Answers

6t + 4 = -2
6t = -2 - 4
6t = -6
t = -1
:)

3. A student measures the time it takes for a sheet of paper to fall to the ground from a marked height. The student then crumples the same piece of paper and drops the paper from the same. What variable did the student change? ​

Answers

Answer:

independent variable is the shape of the paper

dependent variable is the time it takes to fall


A puppy named Blue started out at 2 pounds and gained 4 pounds every month. How heavy
was Blue at 8 months old?

Answers

Blue was 34 pounds at 8 months old. You do 4*8=32 +2=34

Answer:

34 pounds

Step-by-step explanation:

One month, Blue will be 6

Two month, Blue will be 10

Three month, Blue will be 14

Four month, Blue will be 18

Five month, Blue will be 22

Six month, Blue will be 26

Seven month, Blue will be 30

Eight month, Blue will be 34

By adding 4 every month, you will get 34

or

4 x 8 = 32

32 + 2 = 34

Sorry if my reasoning doesn't make sense-

Anyways, hopefully this helped! :D

-LavenderVye

which. values are solutions to the inequality below
x^2<144

a. 12
b.11
c.7
d.-20
e.-8
f.-12​

Answers

Answer:

I think it's a or b but if I get you this wrong I'm sorry try with a first then b again I aploizge if I get you this wrong.

Answer:

b, c, and e since they're all less than 144 when squared. negative numbers will turn positive when squared and they're bigger than 144 so they're incorrect.

can u pls help me with this question ​

Answers

the answer is $15.58

Answer:

15.58

Step-by-step explanation:

it is

On a number line, the directed line segment from Q to S has endpoints Q at a -8 and S at 12 Point R partitions the direct line segment from Q to S in a 4:1 ratio Which expression correctly uses the formula (m/m+n)(x2 - x1) + x1 to find the location of point R?

Answers

Answer:

[tex]R =\frac{4}{4+1}(12 +8) -8[/tex]

Step-by-step explanation:

Given

[tex]QS = (-8,12)[/tex]

[tex]Ratio = 4 : 1[/tex]

Required

Determine the expression that correctly uses [tex]\frac{m}{m+n}(x_2 - x_1) + x_1[/tex]

In [tex]QS = (-8,12)[/tex]

[tex](x_1,x_2) = (-8,12)[/tex]

and

[tex]m:n = 4:1[/tex]

Substitute these values in:

[tex]\frac{m}{m+n}(x_2 - x_1) + x_1[/tex]

[tex]R =\frac{4}{4+1}(12 - (-8)) + (-8)[/tex]

The expression becomes:

[tex]R =\frac{4}{4+1}(12 +8) -8[/tex]

Solving further:

[tex]R = \frac{4}{5}(20)-8[/tex]

[tex]R = \frac{4*20}{5}-8[/tex]

[tex]R = \frac{80}{5}-8[/tex]

[tex]R = 16 - 8[/tex]

[tex]R = 8[/tex]

Hence, R is at 8 on the number line

Find the difference -4 3/8 - -1 1/4

Answers

Answer: -3 2/8

Step-by-step explanation:

Answer:

-3.125

Step-by-step explanation:

Name the property shown.
(9 + 3) + 2 = 9+ (3 + 2)

Answers

Answer:

associative property

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like

the population in the town increased 5000 million per year. if the population is 120000 three years ago.. what is the population now

Answers

Answer:

The population will be 135000

5000 x 3 = 15000

Then you add 120000 with 15000

what is the process of solving sequential pattern C,D,F,G,J,K,O,P,__

Answers

C, D, (skip E)

F, G, (skip H and I)

J, K, (skip L, M, and N)

O, P, ...

If the pattern the continues, then the next four letters (Q, R, S, and T) in the alphabet would be skipped and the next letter in the sequence would be U, then V, etc.

Pls help with right answer pls

Answers

Answer:

fifths

Step-by-step explanation:

I believe it is fifths since there are 5 people in the family, each person can get 3/5 of the pumpkin bread making it equal with nothing left over.

1 (06.06 LC
A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the collected data, the least squares
regression line is y3.27 2.14, where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least squares
regression line (points)
of your the estimated number of tots per minute increases by 27

Answers

The question is incomplete. Here is the complete question.

A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the data collected, the least-squares regression line is [tex]y=3.27+2.14x[/tex], where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line?

a. For each increase in age of 1 year, the estimated number of texts per minute increases by 3.27.

b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

c. For each increase of one text per minute, there is an estimated increase in age of 3.27 years.

d. For each increase of one text per minute, there is an estimated increase in age of 2.14 years.

e. The slope has no meaning because the units of measure for x and y are not the same.

Answer: b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

Step-by-step explanation: The least-squares regression is a method of fitness, i.e., it fits a data set of number into an equation.

In this case, the relationship between number of texts per minute and customer age is given by a line equation:

[tex]y=3.27+2.14x[/tex]

in which, y represents the number of texts per minute and x is the age.

In a line equation, slope is the measure of steepness, i.e., how inclined the line is.

In the least squares regression line, slope is 2.14 and it means, in each additional year, the number of texts increase by a factor of 2.14, which is the correct alternative.

Pls help me with this

Answers

Answer:

Step-by-step explanation:

Remark

They are alternate interior angles and therefore equal.

Solution

8x - 10 = 3x + 90              Subtract 3x from both sides

8x - 3x - 10 = 90               Combine the left

5x - 10 = 90                      Add 10 to both sides

5x = 90 + 10

5x = 100                           Divide by 5

x = 20      

================

That isn't the answer. You need 3x + 90

<B = 3*20 + 90

<B = 60 + 90

<B = 150

Bag A contains 3 red balls and 3 blue balls.
Bag B contains 1 red ball and 3 blue balls.
A ball is taken at random from bag A and placed in bag
B. A ball is then chosen from bag B. What is the probability
that the ball taken from B is red?

Answers

Answer:

30% probability that the ball taken from B is red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Red ball from urn A:

3/6 = 1/2 probability of getting a red ball from urn A.

Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.

Blue ball from urn A:

3/6 = 1/2 probability of getting a blue ball from urn A.

Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.

Total:

[tex]p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}[/tex]

3/10 = 0.3 = 30%.

30% probability that the ball taken from B is red.

Use any method to divide

Answers

Answer:

Step-by-step explanation:

-2/3 needs to be multiplied by the reciprocal of 1/2

(-2/3)*(2/1)=-4/3= -1 1/3

Reciprocal of 1/2 is 2/1

-2/3 x 2/1 = -4/3

Multiply: 14.3 x 0.5

Answers

Answer:7.15

Step-by-step explanation: You multiply it

This one is the answer for your question.

Identify the following number. Choose all that apply.

−9

Answers

Answer:

negative nine ?

Step-by-step explanation:

I don't understand

Answer:

-9 is the answer

The other choices I can think of is below

Step-by-step explanation:

X= -9

-|9|

Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?

Answers

Answer:

    THE ANSWER IS 0.003

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