Grayson just lit a new candle and then let it burn all the way down to nothing. The candle burned at a rate of 0.75 inches per hour and its initial length was 12 inches. Make a table of values and then write an equation for L,L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit.

Question

13-01-2021
Mathematics

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Grayson just lit a new candle and then let it burn all the way down to nothing. The candle burned at a rate of 0.75 inches per hour and its initial length was 12 inches. Make a table of values and then write an equation for L,L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit.

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bsnanamamsm bsnanamamsm · Answer 1 · 2021-01-13T13:55:10+01:00

h = 15 - 1.5 t
Step-by-step explanation:
In this example, I made h height.
For this situation, you would use y=mx+b.
If we use this formula, m would be slope. 1.5 is the slope and we are decreasing the size of the candle, which makes -1.5.
x would be t because that's the independent variable.
Since the initial height was 15 inches, 15 would be our starting point or y-intersept, which is b.
So if you put that together, you get h=-1.5t+15.
You can rearrange that to the answer above.