Question

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.

Answer 1

Answer: 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- (.5×1)= 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 because 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.

Step-by-step explanation: hope this helps