Determine whether the growth (or decay)is linear or exponential, and answer the associated question.
-The population of Oak Forest is increasing at a rate of 4% per year. If the population is 39,410 today, what will it be in three years?
A)Linear; 64,410 people
B)Exponential; 44,331 people
C)Exponential; 41,008 people
D)Linear; 122,959 people

Question

Quizplus · Accepted Answer

The population growth is exponential because it increases by a percentage (4%) each year. To find the population in three years, use the formula for exponential growth: $P = P_0(1 + r)^t$, where $P_0$ is the initial population, $r$ is the rate of growth, and $t$ is the time in years. Plugging in the values: $39410(1 + 0.04)^3 = 44,331$ people.

Determine Whether the Growth (Or Decay)is Linear or Exponential, and Answer