Question

Hey, could someone please help me with this? Thanks.

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 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, 9) would represent a height of 9 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 0.45 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values.

Answer 1

Part A: 1. (1, 0.5) 2. (2, 1) 3. (3, 1.5) 4. (4, 2) 5. (5, 2.5) 6. (6, 3)

Part B: Yes, this relation is in fact a function.

Part C: No, it would not be a function.

Explanation:

Part A: Well, you start at 1 hr. right? yes. So then, at the very beginning at the problem, it says the candle burns at the rate of 0.5 in. per hour. So for 1 hour, the candle will burn .5 inches. At 2 hours, it will burn off 1 whole inch.

Part B: 1 hr. = .5 in. burn, 2 hrs. = 1 in. burns, 3 hrs. = 1.5 in. burns, 4 hrs. = 2 in. burns, 5 hrs.= 2.5 in. burns, 6 hrs. = 3 in. burns.

Part C: 1 hr.= .45 in. burn, 2 hrs. = .9 in burn, 3 hrs. = 1.35 in. burns, 4 hrs. = 1.8 in. burns, 5 hrs. = 2.25 in. burns, 6 hrs. = 2.7 in. burns. It does not go at a constant rate. The number of inches are all over the place.

Hope this helps you out!! (: