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

Answer 1

@kropot72

Answer 2

how far would it have burned down after 1 hour?

Answer 3

@piercetheveil47

Answer 4

0.5 inches?

Answer 5

yes so how high would the candle be?

Answer 6

at 1 huor?

Answer 7

hour*

Answer 8

8.5?

Answer 9

yes so we have (1,8.5)

Answer 10

ohhh! so for every hour just subtract 0.5?

Answer 11

yep

Answer 12

the candle should burn at a linear rate.

Answer 13

okay, thank you for explaining! it makes so much more sense now!

Answer 14

np

Answer 15

is this a function?

Answer 16

yes, i think it is, correct? @zzr0ck3r

Answer 17

yes