Question

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.

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.

Answer 1

please help

Answer 2

The next point would (1, 8.5)

Answer 3

ok so what is the 1 for ?

Answer 4

1 hour

Answer 5

ohhh ok i see

Answer 6

so the next one would then be (2,8) ?

Answer 7

You got it!

Answer 8

Keep going until you get to 6

Answer 9

ok can you help me with the next step as well ? no one really wants to help at this time :/

Answer 10

Yeah sure. It's 8.30 pm over here

Answer 11

ok kewl hold on one sec while i finish this up

Answer 12

so this is how it should look so far ?

Answer 13

Yep

Answer 14

It's a function because for every hour(x) there is a unique value of height(Y)

Answer 15

so can u help me with the other steps listed there ?

Answer 16

For the last step it's also a function for the same reason as above

Answer 17

There is a unique value of y for every x

Answer 18

ok so i have to write them out ?

Answer 19

Yes. That would be a good idea

Answer 20

ok so im not to familiar with functions can u help me write that part out ?

Answer 21

Definition of a function is that for every x value there is only one y value

Answer 22

And this is indeed the case for both sets of ordered pairs