County
2000 Population Estimate
Annual Percent Change (Growth Rate)

Cherokee
141,925
4.2% dP/dt = 0.042P

Find an exponential function of the form P(t)=P0ekt , which gives the population of the county in the year 2000 + t.

Evaluate the function at t = 12 and give a verbal interpretation of your answer.

Find the derivative of the function.

Evaluate the derivative at t = 12 and give a verbal interpretation of your answer.

Question

County	
2000 Population Estimate
Annual Percent Change (Growth Rate)

Cherokee
141,925
4.2%     dP/dt = 0.042P


Find an exponential function of the form P(t)=P0ekt , which gives the population of the county in the year 2000 + t. 

Evaluate the function at t = 12 and give a verbal interpretation of your answer.

Find the derivative of the function.

Evaluate the derivative at t = 12 and give a verbal interpretation of your answer.