Find an exponential model for the population (in millions of people) at any time 𝑡t, in years after 1980.

Question

The population of a region is growing exponentially. There were 35 million people in 1980 (when 𝑡=0t=0) and 65 million people in 1990. Find an exponential model for the population (in millions of people) at any time 𝑡t, in years after 1980.

(Note: if you use decimal approximations for the numerical constants in your work, be sure to retain enough significant figures through your work to ensure that subsequent answers are correct.)

P(t) = ?

What population do you predict for the year 2000?

Predicted population in the year 2000 = ?? million people

What is the doubling time?

Doubling time = ?? years

Answer 1

65 = 35e^10k

1.8571 = e^10k

ln 1.8671 = 10k

Can you solve for k and answer?