16Hit1600
Advanced MathEasy–MediumFunction for a growing population

Advanced Math practice question

A town's population is 8,000 and grows by 5 percent each year. Which function gives the population P after t years?

  1. A. P = 8000(1.05)ᵗCorrect
  2. B. P = 8000(0.05)ᵗ
  3. C. P = 8000 + 1.05t
  4. D. P = 8000(1.5)ᵗ

Answer: A. P = 8000(1.05)ᵗ

Growing by 5 percent multiplies by 1.05 each year.

Why the other answers are wrong

B. P = 8000(0.05)ᵗ
Multiplying by 0.05 shrinks the population.
C. P = 8000 + 1.05t
This adds a constant, not a percentage.
D. P = 8000(1.5)ᵗ
1.5 is a 50 percent increase.

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