exponential function

Question

A city has a population of 397,000. The population y​ increases by 3% each year.

a. Write an exponential function that represents the population after t years.

b. What will the population be after 15 years? Round your answer to the nearest thousand.

a.  y=

b. 

Answer 1

a. y(t) = 397000·1.03^t.

b. y(15) = 397000·1.03¹⁵ = 618513