Question

A town has a population of 2.35 × 1 0 4 2.35×10 4and shrinks at a rate of 9.1% every year. Which equation represents the town’s population after 2 years?

Answer 1

The town's population after 2 years is approximately 1.9401 × 10⁴.

Step-by-step explanation:

To find the town's population after 2 years, we can use the formula:

P = P0 * (1 - r)^t

Where:

• P is the population after t years
• P0 is the initial population
• r is the rate of shrinkage per year (9.1% or 0.091 as a decimal)
• t is the number of years

Substituting the given values, we have:

P = 2.35 × 10⁴ * (1 - 0.091)²

P ≈ 2.35 × 10⁴ * (0.909)²

P ≈ 2.35 × 10⁴ * 0.826

P ≈ 1.9401 × 10⁴

Therefore, the town's population after 2 years is approximately 1.9401 × 10⁴.