Shelley wants to purchase a cell phone package, which includes a free phone. The cost of the package is $0.10 per minute, for the number of minutes she uses the phone, plus a base rate of $89.00.

Answers

Answer 1

Answer:

The function would be linear because the rate of change is constant.

Step-by-step explanation:

Given

[tex]Base= \$89.00[/tex]

[tex]Rate = \$0.10[/tex] per minute

See attachment for complete question and options

First, we write the function that calculates the cost (C(t)) for t minutes.

This is calculated as:

[tex]Cost = Base + Rate * t[/tex]

[tex]C(t) = 89.00 + 0.10 * t[/tex]

[tex]C(t) = 89.00 + 0.10t[/tex]

Rewrite as:

[tex]C(t) = 0.10t + 89.00[/tex]

A function that has the above format is referred to as a linear function which has the general format

[tex]f(x) = mx + b[/tex]

Where

m represents the slope/rate and it is constant

From the list of given options, (a) is correct.

Shelley Wants To Purchase A Cell Phone Package, Which Includes A Free Phone. The Cost Of The Package

Related Questions

Consider the standard form of an exponential function:
y = a (b)^x
1. How does changing the base number (inside the parentheses) change your graph? (10 points)

2. How does changing the number outside the parentheses change your graph? (10 points)

3. Create three new exponential equations to represent Alison, Cindy, and Javier. (30 points)
Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.

I have number one please help with 2 and 3.

Answers

Answer:

2. If we plug in X = 0 into our problem ( Y = A(B)^X ) I would get Y = A which drastically changes the initial value, the Y-intercept, and the point on the graph. The point changes to (0,a) which becomes the new Y-intercept.

3. Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

Step-by-step explanation:

The answer to part [2] and [3] are given above.

What is a mathematical function? What is an exponential function? Differentiate between equation and expression?  exponential function : An exponential equation is given by -

        y = A(B)ˣ

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the standard form of an exponential function -

y = a (b)^x

[2] - Changing the number outside the parenthesis will determine the amplitude scaling of the graph of (A)ˣ. For -

a > 1   (Magnitude will increase)

a < 1   (Magnitude will decrease)

a = 0  (Magnitude will become zero)

[3] - For Alison, we can write the expression as -

y{A} = 5000(1000)ˣ

For Cindy and Javier, we can write -

y{C} = (2)ˣ

y{J} = (3)ˣ

where -

[x] represents the number of posts.

Therefore, the answer to part [2] and [3] are given above.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

What is the slope of line a?

Answers

Answer:  -1/4  (choice C)

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

Explanation:

Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.

Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.

The process of "down 1, over to the right 4" can be thought of like this

rise/run = -1/4

rise = -1

run = 4

A rise of -1 indicates we go down 1 unit

The run of 4 means we move to the right 4 units

So that's why slope = rise/run = -1/4

-------------------------------------------------------

Here's another approach using the slope formula:

m = (y2-y1)/(x2-x1)

m = (0-1)/(4-0)

m = -1/4

I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".

-------------------------------------------------------

Side note: The line moving downhill, as we read from left to right, indicates a negative slope.

does anyone know the answer

Answers

Answer:

(1,2)

Step-by-step explanation:

easy lol

brainliest??

What are you trying to find?

Answer: (1,2)

2 + 1 = 3

2 - 1 = 1

Find the unit rate. Enter your answer as a mixed number. 7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.​

Answers

Answer:

Step-by-step explanation:

7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.​

Vinnie decorated 72 cookies in 36 minutes. How many cookies did he decorate per minute? My sister asked this XD

Answers

2 cookies per minute

The sales tax for an item was $9.80 and it cost $490 before tax. Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

2%

Step-by-step explanation:

To solve this problem, a proportion would be best! We can set up the first fraction with the two numbers given to us. We'll use t to represent tax, and w to represent the whole. The first fraction will look something like this:

[tex]\frac{9.80t}{490w}[/tex]

Next, we'll set up our second fraction using knowledge of percents. Every percent is a part of 100%, so we can use 100 as our percent to represent the whole. Since we are solving for the percent that is out of 100, we'll use x to represent it. The final proportion should look like this:

[tex]\frac{9.80t}{490w} = \frac{x}{100w}[/tex]

To solve, we just need to cross-multiply and divide! First, multiply 9.80 by 100 to get 980. Finally, divide 980 by 490 to get a final answer of 2%. The sales tax rate is 2%. The final calculations are as follows:

9.80 X 100 = 980

980 / 490 = 2 or 2%

Which of the following linear equations
has a negative slope? Circle all that apply.

A. y= -6x + 4
B. y= 5 + 2x
C. y= -5
D. y= 3 - 3/4x
E. y= -1
F. y= 1/2x - 2

Answers

Answer:

A and D

Step-by-step explanation:

the slope is the number in front of the x, as in the formula y = a*x + b

the linear equations that have a negative value for a have a negative slope

Find the measure of

Answers

Answer:

m∡GHI = 21°

Step-by-step explanation:

Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.

That means you can set them equal to each other

x + 7 = 3x - 21

x = 14

Now plug x into GHI

14 + 7 = 21

m∡GHI = 21°

Find the value of x.


ABCD ∼ EFGH

Answers

AB/BC = EF/FG
4/x+3 = 3/2x-4
4(2x-4) = 3(x+3)
8x - 16 = 3x + 9
5x = 25
x = 5

If the triangle are similar, write a similarity
I’ll give you a virtual hug if you answer this right

statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation

Answers

Explanation:

We would use AA similarity criterion here because we can see two of the angles in each triangle are equal.

-2w - 5w=
Please help

Answers

Answer:

-7w

Step-by-step explanation:

Answer:

-7w

Step-by-step explanation:

help! thank you!!!!!!!!!!!!!!!

Answers

Answer:

4 ft by 8 ft

Step-by-step explanation:

Answer:

D. 4ft by 10ft

Step-by-step explanation:

Since each square represents 4 feet and the door is 2 blocks plus a bit up it can't be 8 ft since 8ft would only be 2 blocks exactly, this also rules out B since 12 ft would need to be 3 blocks high. this leaves A and D. The third square is only half of a normal square which means its half of 4, 2. You add this to 8 to get 10.

please find the m∠DEY

Answers

Answer:

41, x=-5

Step-by-step explanation:

m<DEY = m<FEY, by angle bisector theorem

(9x-4) = 41

9x = 45

x = 5

m<DEY = 41

Evaluate the exponential function
f(x) = 3x ; x = -2

Answers

Answer:

-6

Step-by-step explanation:

Plug (-2) in for X in the equation

3(-2)

-6


(b) What per cent is1/2
dozen of one score?

Answers

Answer:

1/2 dozen of one score is 30%.

Step-by-step explanation:

As we know that 1 dozen = 12 units.

1/2 dozen = 1/2 times 12=6 units

1 score = 20 units.

By using this conversion, we get

6/2 times 100=30%

So 1/2 dozen of one score is 30%

i have this due in like 10 minutes please help!!

Answers

Answer:

1- a

2- b

3- c

4- d

Step-by-step explanation:

For any operation you have to separate the numbers from the unknown quantities (x, y) and then simplify them by solving them with quantities you are familiar with.

Example:

7x + 8 - 6 + 3x

7x + 3x + 8 - 6

you can only solve operations if they are both natural or algebraic numbers

10x + 2

Hope it was helpful ;)

After eating dinner at a restaurant your bill was $56. You plan to leave a 20% tip. What will your total cost be? (Hint: find the tip amount first).
i need the answer soon!!

Answers

Answer: $67.20

Step-by-step explanation:

56 × 0.2 = 11.2

11.2 + 56 = $67.20

Find the value of x.

Answers

Answer:

        x = 4  

Step-by-step explanation:

DE║AC  ⇒   From Thales:  [tex]\dfrac{BD}{BE}=\dfrac{DA}{EC}[/tex]

Therefore:

                 [tex]\dfrac{10-x}{3}=\dfrac{x}2\\\\2(10-x)=3x\\\\20-2x=3x\\\\20=5x\\\\x=4[/tex]

please answer part one!!!! and fill out the chart

Answers

Answer:

39

33

205

Step-by-step explanation:

77-38

128-95

134+71

The temperature on a spring day is 70 degrees. The temperature increases by 1 degree every hour. Which of the following representations does not show the relationship between the number of hours (h) elapsed and the temperature (T) it has reached?

Answers

Answer:

B. [tex]T=h[/tex]

*Sorry, I'm probably too late

Step-by-step explanation:

If the answer was [tex]T=h[/tex], the starting temperature would be [tex]0[/tex]. This is wrong because the starting temeperature is supposed to be [tex]70[/tex].

34-89=
Plzzzzz helppp mee​

Answers

Answer:

-55

Step-by-step explanation:

If this answer helped you then please consider making this brainliest and thank this response :)

Answer:

The answer is -4

Step-by-step explanation:

Write 2 equivalent fractions for the following fractions, use 2/2 and 3/3. 2/3

Answers

Answer:

[tex]\frac{4}{4} ,\frac{5}{5}[/tex]

Step-by-step explanation:

In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.

[tex]\frac{2}{2} =1[/tex]

[tex]\frac{3}{3}=1[/tex]

[tex]\frac{4}{4}=1[/tex]

[tex]\frac{5}{5} =1[/tex]

As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.

Hope this helps.

5 more than the product of 12 and 8

Answers

101 because of the way it is

What is the slope of the line shown below?

Answers

Answer:

Option D

Step-by-step explanation:

We are given the two points of (5, 11) and (-5, -1).

Use the slope formula.

[tex]m=\frac{rise}{run}=\frac{-1-11}{-5-5} =\frac{-12}{-10} =\boxed{\frac{6}{5}}[/tex]

The correct option should be Option D.

Hope this helps you.

what one is it? help pls

Answers

Answer:

(-2, 0)

Step-by-step explanation:

the y-intercept is (-2, 0), therefore that the solution.

find x for problem c please

Answers

Answer:

here is my solution:

let me know if you have any questions please

what is the answer? A B C D

Answers

Answer:

b

Step-by-step explanation:

30 i believe.. let me know if i’m correct

What is the perimeter?
Explain how you got that.

Answers

Answer:

The perimeter is 60in.

Step-by-step explanation:

Perimeter = the outer length

Add all the lengths

8 + 8 + 4 + 8 + 4 + 8 + 4 + 12 + 4

= 60 in

Jonah deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?​

Answers

$13 i think would be the answer

Help me please. need quickly. What is the value of Z

Answers

Answer:

z = 6

Step-by-step explanation:

[tex]8z-36=2z\\6z-36=0\\6z=36\\z=6[/tex]

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