Question

The population of a city can be modeled by the expression P(1.06)^t where T represents the number of years since 1990 and P represents the population in 1990. Which statement is correct

Answer 1

D. the yearly growth rate of the population is 6%

Explanation:

Given the exponential growth function : P(1.06)^t

Recall the general form of the function :

P(t) = P0(1 + r)^t

Where, P0 = Initial population ; r = rate ; t = time

Comparinv the equation and the function Given :

We can Evaluate :

1 + r = 1.06

r = 1.06 - 1

r = 0.06

To percentage :

0.06 * 100%

= 6%