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.
Part C: If the rate at which the candle burned was 0.4 inches per hour, would the relation be a function? Explain your answer using input and output values.

Answer 1

@TheSmartOne @bohotness @jim_thompson5910

Answer 2

Medal and fan will be awarded

Answer 3

"The original height of the candle was 8 inches."

so that means x = 0 and y = 8

x is the time in hours
y is the height in inches

so one ordered pair is (0,8)

Answer 4

what is another ordered pair?

Answer 5

x=1 and y=16

Answer 6

how are you getting 16?

Answer 7

i meant x=1 y=7.5

Answer 8

good, you subtract 0.5 from 8 to get 7.5

Answer 9

can you find 4 more ordered pairs?

Answer 10

x=2 y=7, x=3 y=6.5, x=4 y=6, x=5 y=5.5

Answer 11

very nice

Answer 12

you list each ordered pair in the form (x,y)

Answer 13

oh ok

Answer 14

and this is a function correct?

Answer 15

yes because any x value leads to EXACTLY ONE y value

Answer 16

plug in one x value, get one y value out

Answer 17

and part c would also be a function.

Answer 18

yes it's the same idea really just with a different number (0.4 instead of 0.5)