Question

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

Answer 1

instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values.

Answer 2

Fan and Medal!!!!!

Answer 3

How far did you get?

Answer 4

What do you mean?

Answer 5

@phi

Answer 6

@Toxic_Vapes

Answer 7

one sec

Answer 8

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches. Obviously the candle starts at a certain length / height. What was it?

Next, the burn rate is given: 0.5 inches/hour. Time is another variable here.

Let L=the length (or height) of the candle.

Can you put all this info together into a straightforward linear equation?

Answer 9

I don't get it...

Answer 10

-Part A

Answer 11

Thank you! any more?

Answer 12

Because I really don't get it..

Answer 13

Can I help? @Breegan

Answer 14

IF you want @KendrickLamar2014

Answer 15

Part.B

Answer 16

and here is another :)

Answer 17

How far would it have burned down after 1 hour? @Breegan

Answer 18

nm

Answer 19

um

Answer 20

let me see

Answer 21

brb

Answer 22

okay thanks guys, and i dont understand stuff like this @KendrickLamar2014

Answer 23

Well im trying to explain this. Can you answer this: How far would the candle have burned down after 1 hour?

Answer 24

ok

Answer 25

@Breegan

Answer 26

8.55 according to @Smartyprincess

Answer 27

BTW, thanks @Smartyprincess

Answer 28

Im asking how much it would go down, not how tall it would be after one hour. It would go down 0.5 inches

Answer 29

So the candle after one hour the candle will be 8.5 inches high. So we have (1, 8.5)

Answer 30

Now do the same for at least 6 ordered pairs. Example: After 2 hours, the candle will go down 1 inch, so the candle will be 8 inches high. So we have (1, 8.0)

Answer 31

so just subtract the numbers by 0.5?

Answer 32

Yes, do like i did in the example 4 more times....

Answer 33

The candle should burn at a linear rate.

Answer 34

Still kinda dont get it...

Answer 35

OH nvm i got it. I just had to realize some things. I'll fan one person and medal the other!

Answer 36

:)

Answer 37

your welcome @Breegan have to go cause of mom :( bye brb! :)

Answer 38

@KendrickLamar2014 Would the relation be a Function after the .45? I think it would but I can't explain it.

Answer 39

I am not sure

Answer 40

h = 9 - .5 t
or if you insist on x and y
y = 9 - .5 x

(0,9) obviously
(1,8.5)
(2,8)
(3,7.5) etc etc etc

yes, there is one y for every x

y = 9 - .45 x

sorry it took so long :)

Answer 41

I almost forgot part c- if the rate at which the candle burnt was 0.3 inches per hour instead of 0.5 inches per hour, will the relation continue to be a function? explain your answer using input and output values.

Answer 42

what do you think?

Answer 43

The numbers are wrong it was .45 and I think it is a linear function but im not entirely sure