Question

PLEEEASE HELP!!! EXPLAIN ALL PARTS!!!

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. (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 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. (3 points)

Answer 1

Have a great day!!

Explanation:

Part A: my rate of change was first y= - 5x + 8 the reason i put a negative sign beforehand is that when the candle melts its height it's decreasing

(0,8),(1,7.5)(2,7)(3,6.5)(4,6)(5, 5.5)

Part B: This is a function because there is one different output for each different input

Part C: yes, it still would be a function because the numbers haven't changed and are exactly the same and it still has one input for each output.

(0,8), (1,75), (2,7), (3,6.5), (4,6), (5,5.5)

Answer 2

see below

Explanation:

A: Some points could be (1, 7.5), (2, 7), (3, 6.5), (4, 6), (5, 5.5) and (6, 5) because the y-coordinates all represent the heights of the candle after the x hours.

B: This is a function because no input has multiple outputs.

C: It would still be a function because no input would have multiple outputs.