Question

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 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, 9) would represent a height of 9 inches after 0 hours. Explain how you obtained the ordered pairs.

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A.
Part C: If the rate at which the candle burned was 0.45 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values.

Answer 1

Explanation:

A: (1, 8.5)(2, 8)(3, 7.5)(4, 7)(5, 6.5)(6, 6)

B: Yes

C: Yes

Answer 2

Part A:
X Y
0 9
1 8.5
2 8
3 7.5
4 7
5 6.5
6 6

For every y in a pair, you subtract 0.5 from the y in the pair before it

Sorry, but I have no idea about Part B and C