Enzo is studying the black bear population at a large national park.He finds that the relationship between the elapsed time t, in years, since the beginning of the study, and the black bear population B(t), in the park is modeled by the following function.B(t)=2500⋅20.01tAccording to the model, what will the black bear population be at that national park in 25 years?Round your answer, if necessary, to the nearest whole number.
Q. Enzo is studying the black bear population at a large national park.He finds that the relationship between the elapsed time t, in years, since the beginning of the study, and the black bear population B(t), in the park is modeled by the following function.B(t)=2500⋅20.01tAccording to the model, what will the black bear population be at that national park in 25 years?Round your answer, if necessary, to the nearest whole number.
Identify Function and Value: Identify the function and the value of t to use.We have the function B(t)=2500×20.01t. We need to find B(25) since t=25 years.
Substitute t=25: Substitute t=25 into the function.B(25)=2500×20.01×25
Calculate 0.01×25: Calculate 0.01×25.0.01×25=0.25
Calculate 20.25: Calculate 20.25.20.25≈1.1892
Multiply by 1.1892: Multiply 2500 by 1.1892.2500×1.1892≈2973
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