The percentage of area damaged in a fire after t hours of burning is modeled by P(t)=12e0.08t . To the nearest whole number, what percentage of area will be damaged by a fire that burns for eight hours?(1 point)
Responses
23 percent
23 percent
13 percent
13 percent
This is impossible to determine with the information provided.
This is impossible to determine with the information provided.
21 percent
To solve this problem, we can substitute t = 8 into the equation P(t):
P(t) = 12e^(0.08t)
P(8) = 12e^(0.08*8)
P(8) = 12e^(0.64)
P(8) ≈ 12(1.89888)
P(8) ≈ 22.78656
Rounding this number to the nearest whole number, we get 23 percent.
Therefore, the percentage of area that will be damaged by a fire burning for eight hours is approximately 23 percent.