Question

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. (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 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. (3 points)

Answer 1

Answer:

See below.

Step-by-step explanation:

"Part A:

(1,5.5)

(2,5)

(3,4.5)

(4,4)

(5,3.5)

(6,3)

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."

Answer is also here:

https://brainly.com/question/2872549?referrer=searchResults

-hope it helps