Acandle 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) 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 0.45 inches per hour instead of 0.5 inches per hour, would the relation be a function? explain your answer using input and output values. (3 points)

A: (1, 8.5)(2, 8)(3, 7.5)(4, 7)(5, 6.5)(6, 6)

B: Yes

C: Yes

Step-by-step explanation:

A: I obtained the ordered pairs by subtracting .5 inches from 9 inches for each second.

B: Yes because for every input there is only one output. For example after 2 seconds, the candle is 8 inches (and there is no other input). A function must only have one output for every input.

C: The relation would still be a function because for every input there would be one out put. Some new ordered pairs would be (1, 8.55) (2, 8.1) (3, 7.65) (4, 7.2) (5, 6.75) (6, 6.3)

7,24

step-by-step explanation:

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get