Question

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.

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A.

Answer 1

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.

Answer 2

Write a list of 6 ordered pairs

h = 8 - .5*h where h is the number of hours and h is the height of the candle at time h.

(0,8)

Use the formula to crank out the h that goes with these hours:

(1, )

(2, )

(3, )

(4, }

(5, )

Post what you get.

Answer 3

i don't get it.

Answer 4

I'm work an example and then you can do the next one.

Answer 5

first ordered pair (0,8) --> first ordered pair

h = 8 - .5*h

Use the formula to crank out the h that goes with these hours:

(1, )


height = 8 - .5*1 = 8 - .5 = 7.5

So (1, ) is the ordered pair (1, 7.5) --> second ordered pair

Answer 6

If hours = 2, you find the height of the candle using

height = 8 - .5*h

Answer 7

i got 60

Answer 8

The candle cannot be 60 inches tall after burning for an hour.
The candle was 8 inches at the beginning.
So, the candle cannot grow to 60 inches.

It is getting shorter, not taller.

Answer 9

height = 8 - .5*h

If h = 2

height = 8 - .5*2 = ?