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Question 1122489: A candle is lit and burns and the length of the candle changes at a constant rate of -1.9 inches per hour. 2 hours after the candle was lit the candle is 8.9 inches long.
a.Write a formula that expresses the remaining length of the candle in inches,
L, in terms of the number of hours t that have elapsed since the candle was lit.
b.Use your formula from part a. to determine how long the candle was before it was lit.
Answer by ikleyn(52800)   (Show Source):
You can put this solution on YOUR website! .
A candle is lit and burns and the length of the candle changes at a constant rate of -1.9 inches per hour.
2 hours after the candle was lit the candle is 8.9 inches long.
a. Write a formula that expresses the remaining length of the candle in inches,
L,
in terms of the number of hours t that have elapsed since the candle was lit.
The remaining length L(t) = 8.9 + 2*1.9 - 1.9*t inches, t >= 0. (1)
b. Use your formula from part a. to determine how long the candle was before it was lit.
how long the candle was before it was lit = L(0) = simply substitute t= 0 into the formula (1) to get = 8.9 + 2*1.9 inches.
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