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.

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 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values.