Question

Please Help ASAP

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.

Answer 1

Part A:
(1,5.5)
(2,5)
(3,4.5)
(4,4)
(5,3.5)
(6,5)

every hour (x value) i subtracted 0.5 from the candle height (y value) since it burns at 0.5 inches per hour.

Part B:
Yes, this is a function because there is a constant relationship between the input and the output.

Part C:
Yes, this will continue to be a function because there is still a constant relationship, even though its different than the first one.
(1,5.7)
(2,5.4)
(3,5.1) ect.