50 points
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)