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a candle burns down at the rate of 0.5 inches per hour. the original height of the candle was 6 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, 6) would represent a height of 6 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 burnt was 0.3 inches per hour instead of 0.5 inches per hour, will the relation continue to be a function? explain your answer using input and output values.