4
advanced-math

A city's population grows at 3% per year. If the current population is 50,000, what will it be in 5 years?

A

About 57,964

B

57,500

C

65,000

D

53,000

Correct Answer: A

Choice A is the correct answer. Use exponential growth formula.

  1. Formula: P(t)=P0(1+r)tP(t) = P_0(1 + r)^t where P0=50000P_0 = 50000, r=0.03r = 0.03, t=5t = 5.
  2. Calculate: P(5)=50000(1.03)5=50000(1.159274)57,964P(5) = 50000(1.03)^5 = 50000(1.159274) \approx 57,964.
  3. Result: Population ≈ 57,964.

💡 Strategic Tip: Growth rate of 3% means multiplying by 1.03 each year.

Choice B is incorrect because this assumes simple addition (50,000 + 7,500). Choice C is incorrect because this assumes too high a growth rate. Choice D is incorrect because this only accounts for one year of growth.