Question

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)

23 percent

21 percent

This is impossible to determine with the information provided.

13 percent

Answer 1

Compute P(8) = 12 e^{0.08·8} = 12 e^{0.64} ≈ 12 × 1.89648 ≈ 22.76, which rounds to 23%.

Answer: 23 percent.