Question

The population of Pinedale was 1,900 in 2000. The population increases by 4% each year. Write

exponential function that models this situation.
Enter your answer in the box.

Answer 1

To write an exponential function that models the situation, we can use the formula:

y = a(1 + r)^t

where:

y is the population after t years

a is the initial population (in 2000)

r is the annual growth rate (4% = 0.04)

t is the number of years since 2000

So, substituting the given values, we have:

y = 1900(1 + 0.04)^t

Simplifying the expression:

y = 1900(1.04)^t

Therefore, the exponential function that models this situation is:

f(t) = 1900(1.04)^t

where t represents the number of years since 2000 and f(t) represents the population after t years.