Question

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

Answer 1

A) Function would be: (0, 9) (1, 8.5) (2, 8) (3, 7.5) (4, 7) (5, 6.5) (6, 6)

Increase x-coordinate by 1 at each instance (time is increasing in hours) and decrease y-coordinate by 0.5 (height is decreasing) 

B) Ordered Pairs: (0, 9) (1, 8.5) (2, 8) (3, 7.5) (4, 7) (5, 6.5) (6, 6)

As y-coordinate is not repeating for different x-values, "It is a Function"

C) Ordered Pairs: (0, 9) (1, 8.55) (2, 8.10), (3, 7.65), (4, 7.20), (5, 6.75)

Again, "It is a Function" as y-coordinate is not repeating for different y-'s. We've just decreased the y's, it doesn't affect x-coordinate, so the nature of our function won't change

Hope this helps!

Answer 2

You can get those ordered pairs subtracting 9-0.5, then that result minus 0.5 because from the rate the candle reduces its height 0.5inches per each hour.Part B: Is this relation a function? Yes, because each value of x has a single result or output in “y” (image)Part C: Yes, only difference is the time, the candle reduces its height 0.45 inches per each hour, examples of ordered pairs:  (0,9)  (1,8.55) (2,8.1)