Question 7 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
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 percent 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 is equal to 34,560 times 0 point 0 8 to the x th power
B
y is equal to 32,000 times 1 point 0 8 to the x th power
C
y is equal to 34,560 times 1 point 0 8 to the x th power
D
y is equal to 32,000 times 0 point 0 8 to the x th power
Explanation
Exponential growth is modeled by y = starting population × (1 + growth rate)^x. The town starts with 32,000 people and grows by 8% per year, so the multiplier is 1.08. Thus y = 32,000 × 1.08^x, which is choice D; after one year, this gives 34,560.
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