64 points 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. (5 points) part b: is this relation a function? justify your answer using the list of ordered pairs you created in part a. (2 points) part c: if the rate at which the candle burned was 0.45 inches per hour instead of 0.5 inches per hour, would the relation be a function? explain your answer using input and output values. (3 points)

Given is:

The initial height of the candle is 9 inches.

And rate of burning is 0.5 inches per hour.

Part A:

The ordered pairs are: {(0,9),(1,8.5),(2,8),(3,7.5),(4,7),(5,6.5)}

Here we will subtract 0.5 each time, with increasing the time per hour as the rate of burning is 0.5 inches per hour.

Part B:

Yes, it is a function because each x value has its own y value.

Part C:

Yes, the relation would still be a function. The only difference is the time, the candle reduces its height 0.45 inches per each hour so ordered pairs will be :  (0,9)  (1,8.55) (2,8.1)  (3,7.65)

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.