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. (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 0.45 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

\[9\div0.5=18\]

Answer 2

Ordered pairs:

Answer 3

(1,8.5) (2,8) (3,7.5) (4,7) (5,6.5) Every time a hour passed, The candle became a 0.5inch smaller.

Answer 4

x=The hour Y=Candle Height.