Acandle 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

Part A: the ordered par would be:  x   y
                                                       0   9
                                                       1   8.5
                                                       2   8
                                                       3   7.5
                                                       4   7
                                                       5   6.5
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)

The linear equation is: y=ax+b