The percentage of area damaged in a fire after t hours of burning is modeled by P(t) = 12e^0.08t. To the nearest whole number.
what percentage of area will be damaged by a fire that burns for eight hours? Your options are..
-23 percent
-21 percent
-This is impossible to determine with the information provided
-13 percent
To find the percentage of area damaged by the fire after 8 hours, we substitute t = 8 into the given equation:
P(8) = 12e^(0.08*8)
P(8) ≈ 12e^(0.64)
Using a calculator, we find that e^(0.64) ≈ 1.897
P(8) ≈ 12 * 1.897
P(8) ≈ 22.764
Rounding to the nearest whole number, the percentage of area damaged after 8 hours of burning is 23 percent.
Therefore, the answer is:
-23 percent.