37
QuizMultiple Choice

Exponential Growth Functions

Question 37 • CA-Mathematics I

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

Answer
A
y = 32,000(1.08)x
B
y = 32,000(0.08)x
C
y = 34,560(1.08)x
D
y = 34,560(0.08)x

Explanation

Exponential growth uses the model y = starting population × (1 + growth rate)^x. The town starts with 32,000 people and grows by 8%, so the yearly growth factor is 1 + 0.08 = 1.08. Therefore, y = 32,000(1.08)^x, which is choice A.

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