SOLUTION: A candle is lit and burns and the length of the candle changes at a constant rate of -1.6 inches per hour. 2 hours after the candle was lit the candle is 8.5 inches long. a.Wri

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A candle is lit and burns and the length of the candle changes at a constant rate of -1.6 inches per hour. 2 hours after the candle was lit the candle is 8.5 inches long. a.Wri      Log On


   



Question 1121835: A candle is lit and burns and the length of the candle changes at a constant rate of -1.6 inches per hour. 2 hours after the candle was lit the candle is 8.5 inches long.
a.Write a formula that expresses the remaining length of the candle in inches,L, in terms of the number of hours 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 Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!

At t=2, candle is 8.5 inches
at t=x, where x=hours, the candle's length is 8.5+(x-2)(-1.6), units are inches, so when x=2 hours, the length is 8.5-0 or 8.5 inches, and when x=3, it is 6.9 inches long
when x=0, when the candle was lit, the length was 8.5+((-2)(-1.6))=8.5+3.2=11.7 inches

8.5+(x-2)(-1.6) inches
or 8.5-(x-2)(1.6) inches