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?(1 point) Responses 13 percent 13 percent This is impossible to determine with the information provided. This is impossible to determine with the information provided. 21 percent 21 percent 23 percent
To find the percentage of area damaged after burning for eight hours, substitute t = 8 into the given equation:
P(8) = 12e^(0.08*8)
P(8) ≈ 12e^0.64
P(8) ≈ 12 * 1.8988
P(8) ≈ 22.786
Rounding to the nearest whole number, the percentage is 23 percent.