Question

PLEASEE ANSWER!! WILL GIVE 40 POINTS AND BRAINLIEST

Jessica loves the smell of candles in her home. She bought a candle, and it 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. (5 points)

(0.9),(__),(__),(__),(__),(__),(__)

Part B: Is this relation a function? Yes or no? 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 0.45 inches per hour instead of 0.5 inches per hour, would the relation be a function? Yes or
no? Explain your answer using input and output values.

Answer 1

Step-by-step explanation:

Original height is the initial value, burn down rate is 0.5 inches per hour

This would be represented by a function:

• y = 9 - 0.5x

Part A

Ordered pairs:

• (0, 9), (1, 8.5), (2, 8), (3, 7.5), (4, 7), (5, 6.5), (6, 6)

Part B

• Rate of burn down is stable at 0.5 inches, this is a function

Part C

If the rate at which the candle burned was 0.45 inches per hour instead of 0.5 inches per hour, the relation would still be a function. The output values would have same difference of 0.45 inches and the function would be:

• y = 9 - 0.45x