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, in terms of t, representing
the length of the candle remaining unburned, in inches, t hours after the candle was
lit.
Number of Hours Burning Length of Candle Remaining (Inches)
0
1
2
3

0 = 12 inches

1 = 11.25 inches

2 = 10.5 inches

3 = 9.75 inches

Step-by-step explanation:

Let's write our equation in terms of L = mt + b. We know that the initial length of the candle was 12, so let's put that value in for b. The rate at which the candle burns is 0.75. Because the candle is losing length as it burns, our slope will be negative, so -0.75 will be our m. Now our equation looks like this:

L = -0.75t + 12

L represents the length of the candle after t amount of hours.

Now we can use this equation to find the length of the candle after the given amount of hours.

0: L = -0.75(0) + 12

L = 0 + 12

L = 12

The length of the candle is 12 inches 0 hours after the candle starts burning.

1: L = -0.75(1) + 12

L = -0.75 + 12

L = 11.25

The length of the candle is 11.25 inches 1 hour after the candle starts burning.

2: L = -0.75(2) + 12

L = -1.5 + 12

L = 10.5

The length of the candle is 10.5 inches 2 hours after the candle starts burning.

3: L = -0.75(3) + 12

L = -2.25 + 12

L = 9.75

The length of the candle is 9.75 inches 3 hours after the candle starts burning.

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step-by-step explanation:

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