Question

I kind of owe someone a favor :P and I have no idea
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 inches per hour instead of 0


thanks

Answer 1

h = 9 - .5 t
or if you insist on x and y
y = 9 - .5 x

(0,9) obviously
(1,8.5)
(2,8)
(3,7.5) etc etc etc

yes, there is one y for every x

y = 9 - .45 x

Answer 2

thsnks!

Answer 3

1 number plus 2

Answer 4

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)

The ordered pairs would be (0,9), (2,8), (4,7), (6,6), (8,5), (10, 4), 12, 4). I went with these since every 2 hours the candle burns 1 inch. 

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

This is a function. I know this since none of the answers repeat and they follow a pattern. It is also linear. There is only one value for each x if you use the coordinates. 


I haven't finished the last part tho.