PLLSSSSS HELLLP

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.

Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 6) would represent a height of 6 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

Part C: If the rate at which the candle burnt was 0.3 inches per hour instead of 0.5 inches per hour, will the relation continue to be a function? Explain your answer using input and output values. (3 points)

Answers

Answer 1

Answer:

Part A: 0,6    1, 5.5   2,5.0    3,4.5    4,4.0   5,3.5    6,3.0

Step-by-step explanation:

Part B: This would be a function, it has a constant rate of change.

Part C: 0,6    1,5.7     2,5.4      3,5.1      4,4.8      5,4.5     6,4.2,  this would still be a function, just at a slower rate of speed.


Related Questions

Last year, 42 new houses were built in a neighborhood. So far this year, 5/7 of them have been sold. How many new houses have been sold this year?

Answers

Answer:

30

Step-by-step explanation:

illl explqain if you need it

Use the rule ƒ(x) = -2x + 3 to complete the statement. When x = 5, ƒ(x) = _____.
A. -13
B. -22
C. -7
D. -28

Answers

Answer:

-7

Step-by-step explanation:

To solve this equation, plug your x value in and simplify.

-2x + 3

-2(5) + 3

-10 + 3

-7

The answer is -7 , because you are finding the slope of the line

plz help
It took a boat 4 hours to travel downstream 120 miles. Upstream, the same trip took 6 hours. Find the rate of the current and the speed of the boat in still water.

Answers

Answer:

30 miles per hour downstream

20 miles per hour upstream

Step-by-step explanation:

divide 4 by 120 to get the rate downstream

divide 6 by 120 to get the rate upstream

Hope this helps :(

A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.

Answers

Answer:

20 * 1.4 = 28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

A confectioner mixes forty liters of 60% sugar syrup with a 10% syrup to make a 20% sugar syrup. How much of the 10% should she use?

Answers

Whatever he/she said...................

Answer:

160

Step-by-step explanation:

The Bill of Rights was added to the U.S. Constitution to support the Anti-Federalists’ demand for the protection of what?

A.sales tax limits
B.individual liberties
C.veto powers of the President
D.precedents set by the Supreme Court

Answers

A. sales tax limits ??

The answer is A.Sales tax limits

Which quadrant is the point (-3,5) located?
quadrant I
quadrant II
quadrant III
quadrant IV

Answers

Quadrant ll
Hope this helps
Quadrant III I believe

Hello everyone I hope your doing well, I'm having trouble with school at the moment. I have loads of assignments and I need to finish them today. I will have more of these so if anyone is willing to help with all of these please send me a email

Answers

27.5 miles 110 miles in 2 hours divided by 4 gives you your answer

Answer:

A is 55 ÷2=27.5? because 1 is 5 5 so to get 1/2 you will half the first one

I need helpppp pleaseee :(

Answers

Answer:

u can use desmos it will help a lot

Step-by-step explanation:

what does it mean to add a negative number?

Answers

Answer:

The exact same as subtracting.

Example

5 + (-2) = 3

Answer:

To add a negative number means to subtract

Step-by-step explanation:

Which statement is correct? i'll give brainliest
A. (2.06 × 10∧-2)(1.88 × 10∧-1) 7.69 × 10∧-2/2.3 × 10∧-5
D. (2.06 × 10∧-2)(1.88 × 10∧-1) = 7.69 × 10∧-2/2.3 × 10∧-5

Answers

The correct anwser is D

Answer:

yay free points also it is d lol

Step-by-step explanation:

Can someone pls help mee

Answers

Answer:

Here is your answer

I WILL CHOOSE BRAINLIEST TO BEST ANSWER!!!! WORTH 100 POINTS!!!!!!

Answers

Answer:

its I my sister said

Step-by-step explanation:

I would say Last option

For the following problem, you must first solve the problem, then write the inequality.

Ms. Stone wants to spend less than $80 on presents for her 2 brothers.
What is the most amount of money she can spend on each of them?

Answers

The most she can spend on each of them is 40

20$ each hope this helps :)))

Chorally count by 2⁄3 starting at 6 PLEASE I ONLY HAVE 48 MINUTES LEFT TO DO THIS PLEASEEEEEEEEEEEEE :(

Answers

Answer:

I dont know if you want your answer in Exact form or Mixed Number form so I put both.

Starting Box:  [tex]\frac{6}{3}[/tex] or 2

Box 1:  [tex]\frac{8}{3}[/tex] or [tex]2\frac{2}{3}[/tex]

Box 2: [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{3}[/tex]

Box 3: [tex]\frac{12}{3}[/tex] or 4

Box 4: [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]

Just keep adding  [tex]\frac{2}{3}[/tex] from the last number

like:

[tex]\frac{14}{3} + \frac{2}{3} =[/tex]

rrMake a value for n so that the compound inequality -n is less than x and x is less than n (-n≤x≤n) Remove the equal to signs in the equation.

Answers

Well I’m not sure I am sorry
any pictures because i currently don't understand what you mean

Help Please I will Give 10 Points And Brainliest!

Answers

Answer:

-64[tex]y^{2}[/tex]

Step-by-step explanation:

You first simplify (-4)^3, then add the exponents of y, which is [tex]y^{2}[/tex].

Answer:

−64y2

Step-by-step explanation:

need help plsssss i will give brainliest and thanks

Answers

Answer:

its d

Step-by-step explanation:

i did the work

answer is d

work: i did it already

help me with this question please thx!!

Answers

Answer:

B

Step-by-step explanation:

the table represents the equation y= 35x

x = number of hours

B

Because Y=35x

Hope this helps

The triangular sail has an area of 25 square feet. The sail's height is 10 feet. What is the length of the base of the sail? Hint: Remember that the area of 25 square feet is half of the rectangle. Don't forget units (feet) in your answer. I'LL MAKE FIRST GOOD ANSWER BRAINLIEST PLEASE HELP

Answers

Answer:

5 feet

Step-by-step explanation:

Stephanie earned 8 points for every book she read over the summer. The equation y = 8x represents Stephanie's points based on the number of books she read.



Use the table and equation to complete the statements and find the number of books Stephanie read.

1. Stephanie earned 72 points. Did she read fewer than 2 books, between 2 and 5 books, between 5 and 6 books, or more than 7 books? Explain how you know.


2. The equation y = 8x gives the points, y, earned by reading x books.

Use this equation to find the number of books Stephanie read to earn 72 points. Show your work.

(here are the tables)(plz answer both and dont be greedy as * and say i d k and get pts!)

Answers

Answer: multiply 8 on all x number of books read

Step-by-step explanation:

1 is 8 because 8 × 1 is 8

2 is 16 because 8 × 2 is 16

3 is 24 because 8 × 3 is 24

4 is 32 because 8 × 4 is 32

5 is 40 because 8 × 5 is 40

6 is 48 because 8 × 6 is 48

7 is 56 because 8 × 7 is 56

8 is 64 because 8 × 8 is 64

9 is 72 because 8 × 9 is 72

10 is 80 because 8 × 10 is 80

1. If Stephanie had read fewer than 2 books, she would have earned less than 16 points.

2. Stephanie read 9 books to earn 72 points.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

1. To determine the number of books Stephanie read, we can plug in the number of points she earned, which is 72, into the equation y = 8x and solve for x:

72 = 8x

Dividing both sides by 8, we get:

x = 9

So, Stephanie read 9 books to earn 72 points.

If Stephanie had read fewer than 2 books, she would have earned less than 16 points (since 8 points per book multiplied by 2 books is 16 points).

Similarly,

If Stephanie had read between 2 and 5 books, she would have earned between 16 and 40 points.

If Stephanie had read between 5 and 6 books, she would have earned between 40 and 48 points.

If Stephanie had read more than 7 books, she would have earned more than 56 points.

2. The given equation is as follows:

y = 8x

Substitute the value of y = 72 in the equation,

72 = 8x

Dividing both sides by 8, we get:

x = 9

Therefore, Stephanie read 9 books to earn 72 points.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Find the sum.
start fraction 1 over 7 end fraction + two-fifths
A. one-fourth
B. start fraction 3 over 7 end fraction
C. The fraction states 14 over 35.
D. Start Fraction 19 over 35 End Fraction

Answers

D. Start Fraction 19 over 35 End Fraction

the denominators need to be equal to add so 1/7 converts to 5/35 and 2/5 converts to 14/35

so 5/35 + 14/35 = 19/35
5/35 need points need

PLEASE HELP !!!!!!!!!! I'LL GIVE BRAINLIST!!!!!!

Answers

I think is 50.24 (tell me after if it was right)
50.24 i believe ? :)))

This is my last question for now, i have a test later today but i need to finish this question first, please answer rightly!!! :))

Answers

Answer:

Step-by-step explanation:

60-7.5

=52.5

Answer:

52.5 inches

Step-by-step explanation:

If someone is taller than someone, then you would subtract the to heights. Which in this case it would be 60-7.5, and then you would answer it with a lable. So the answer is 52.5 inches.

yan and Kaine are two partners in a business. Ryan makes $3 in profits for every $4 Kaine makes. If Kaine makes $60 profit on the first item they sell, how much profit does Ryan make?

PLS HELP

Answers

£45 sorry if it’s wrong

Answer: 45

Step-by-step explanation: because 60/4 = 15 and 15 x 3 = 45, Ryan makes $45

I hope this helps

Multiply 15×2.23
plz and ty

Answers

Answer:

33.45

Step-by-step explanation:

Just multiply

Just put it like normally, forget the decimal for now, you don’t have to line it up due to it not being addition Or subtraction

You’ll get 3345 without the decimal

now there are 2 decimal places from 0 so

just move the decimal place 2 times to the left

33.45

Answer:

33.45

Step-by-step explanation:

15 * 2.23 = 33.45

use a calculator

hope this helps! :)

Risky Retzlaff is cutting it close! She has 20 minutes to get to her destination and it is 25 miles away. She drives 3/5 miles in 10 minutes, and 1/6 in 5 minutes. How many miles does she have to drive in her last 5 minutes? really need help

Answers

Answer:y =

40 mi

Step-by-step explanation:

y = -.75(85) + 103.75

y = -63.75 + 103.75

y = 40 mi from home after 85 min

Select the correct points.
Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function
y=8/5x+3/5​

Answers

Answer: Slope     =  3.200/2.000 =  1.600

Geometric figure: Straight Line

 Slope = 3.200/2.000 = 1.600

 x-intercept = 3/8 = 0.37500

 y-intercept = -3/5 = -0.6000

Step-by-step explanation:  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(8/5*x-3/5)=0

STEP

1

:

           3

Simplify   —

           5

Equation at the end of step

1

:

        8         3

 y -  ((— • x) -  —)  = 0

        5         5

STEP

2

:

           8

Simplify   —

           5

Equation at the end of step

2

:

        8         3

 y -  ((— • x) -  —)  = 0

        5         5

STEP

3

:

Adding fractions which have a common denominator :

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

8x - (3)     8x - 3

————————  =  ——————

   5           5  

Equation at the end of step

3

:

      (8x - 3)

 y -  ————————  = 0

         5    

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

         y     y • 5

    y =  —  =  —————

         1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y • 5 - ((8x-3))     5y - 8x + 3

————————————————  =  ———————————

       5                  5    

Equation at the end of step

4

:

 5y - 8x + 3

 ———————————  = 0

      5    

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 5y-8x+3

 ——————— • 5 = 0 • 5

    5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  5y-8x+3  = 0

Equation of a Straight Line

5.2     Solve   5y-8x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5y-8x+3  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/5 so this line "cuts" the y axis at y=-0.60000

 y-intercept = -3/5  = -0.60000

Calculate the X-Intercept :

When y = 0 the value of x is 3/8 Our line therefore "cuts" the x axis at x= 0.37500

 x-intercept = 3/8  =  0.37500

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.600 and for x=2.000, the value of y is 2.600. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.600 - (-0.600) = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / R

Michael deposits $2650 into an account. The interest rate on the account is 6% compounded annually. What is the balance in Michael's account after 2 years? After 3 years?

Answers

Answer:

$318 after 2 years

$477 after 3 years

Step-by-step explanation:

The formula for simple interest is i=p*r*t.

p=$2650

r=6% or .06

t=2 and 3

You have to multiply everything together to get the intrest so the balance after 2 years is $318 and the balance after 3 years is $477.

help me please..........

Answers

Answer: (-3; -11)

Step-by-step explanation:

[tex]\left \bigg \{ {\big{y=7x+10} \atop\big {y=-4x-23}} \right.\\\\7x+10=-4x-23\\7x+10-10=-4x-23-10\\7x=-4x-33\\7x+4x=-4x-33+4x\\11x=-33\\11x \div 11=-33 \div 11\\x=-3\\\\y=7x+10\\y=7 \times (-3)+10=-21+10=-11[/tex]

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