Question

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 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, 6) would represent a height of 6 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 burnt was 0.3 inches per

Answer 1

Do you need help on all of this?

Answer 2

i mean... probably

Answer 3

probably not

Answer 4

Okei, with the information we know we could create an equation to show how long the candle will take to melt. With that we can plug in numbers to create ordered pairs

Answer 5

ok

Answer 6

So f(h)=6-(0.5h) will be the equation to show how long the candle will take to melt. "6" being the initial amount, 0.5 will be the rate, and "h" will be the amount of time in hours.

Answer 7

ok

Answer 8

H is also the X value, so all you have to do is plug in numbers from 0-6 to get the ordered pairs

Answer 9

ok but wouldnt you have two different values? instead of two h's

Answer 10

Okei for example f(0)=6-(0.5(0)) is f(0)=6. The "f(h)" is basically your "x" and the answer is your "y". So that would be your first ordered pair (0,6).

Answer 11

All you have to do is plug in the rest of your numbers for more ordered pairs.

Answer 12

then 1,6 and so on?

Answer 13

Yup

Answer 14

Actually wait no sorry

Answer 15

oh ok...

Answer 16

You have to actually plug it in and do the equation. f(h) is what you are inputing and the answer is the output

Answer 17

f(1)=6-(.5(1)), what do you get?

Answer 18

wait whats the f for?

Answer 19

it would be5.5

Answer 20

so its not a function

Answer 21

It's a function, if you haven't gotten that far in math class I can explain it to you, but you need it in the problem. You basically read "f(h)", as "function of h". This "h" can be anything else like x or t.

Answer 22

oh i have, im actually in algerbra 1 but this just confused me... long story

Answer 23

I mean do you get what I'm explaining?

Answer 24

yah

Answer 25

This is a strong concept in math, which you'll be using later in advance stuff. So if you want to get a better grasp I would recomend watching a video online. There's plenty of stuff that could explain it better

Answer 26

ok thx

Answer 27

oh one more thing... the last part sas, would it continue being a function...

Answer 28

Do you need anymore help on, like how to prove if it's a function

Answer 29

Okei so there's many ways to prove if it's a function

Answer 30

ik but its not...

Answer 31

No it's a function

Answer 32

ugghhh this is confusoing

Answer 33

nvm

Answer 34

Anything is a function, unless it has repeating "x" values. It can have repeating "y" values but not x. So you can graph the equation, and by using the "vertical line test" you can tell if it is or not. You just draw vertical lines on the graph and if you notice if it's touching two points of your equation it's not a function

Answer 35

Any further explanation, or is this good?