A candle is lit and the length of the burning candle changes at a constant rate of -1.6 inches per hour. 3 hours after the candle was lit the candle was 8.7 inches long. Determine how long the candle was before it was lit.

The length of the candle was 13.5 inches before it was lit.

Step-by-step explanation:

Let the length of candle in the beginning be c.

Constant rate of change in length of candle=  -1.6 inches per hour

Since rate of change is constant so the length of candle can be represented by a linear function [Linear function has constant rate of change.]

Linear function : f(x)= mx+c , where x= independent variable.

m= constant rate of change and c= initial value of function.

Let x = Number of hours after the candle was lit.

Put m=  -1.6 , x= 3 and f(x)= 8.7 , we get

Hence, the length of the candle was 13.5 inches before it was lit.

5050 i think

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