A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 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, 8) would represent a height of 8 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 burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

PART A.

y= remaining height of candle

x= rate the candle burns down in inches per hour

8= original height of candle

the function would be y=8- 0.5x because the candle starts at a height of 8 feet and loses half an inch per hour.

You can use this function to create ordered pairs by putting in number at x which indicates the time:

x=1

y=8- (.5x1)= 7.5

(1, 7.5)

you can then do this for other numbers and get:

(2, 7.0) (3, 6.5) (4, 6.0) (5, 5.5) (6, 5.0)

PART B.

This equation is a function because all of the x-values had different y-values as seen in the coordinates (1, 7.5) (2, 7.0) (3, 6.5) (4, 6.0) (5, 5.5) (6, 5.0)  

PART C.

If the rate was 0.4 inches an hour, it would still be a function becaise the rate is the only thing that changed making the new function y= 8- 0.4x.This equation would make coordinates of (0,8) (1, 7.6) (2, 7.2) (3, 6.8) and so on with each x value creating a different y value.

the answer is 40.

proof:

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step-by-step explanation:

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