Question

A certain city's population is 120,000 and decreases 1.4% per year for 15 years.

Is this exponential growth or decay? Growth
What is the rate of growth or decay?
What was the initial amount? 120000
What is the function?
What is the population after 10 years? Round to the nearest whole number.

Answer 1

The city's population experiences exponential decay, not growth. The rate of decay is 1.4% per year. After 15 years, the population would be approximately 109,570.

Step-by-step explanation:

This problem involves exponential decay, not growth.

The rate of decay is given as 1.4% per year. To determine the population after 15 years, we need to calculate the decrease in population using the given rate of decay.

The formula for exponential decay is: P(t) = P0 * (1 - r)t, where P(t) is the population after time t, P0 is the initial population, and r is the rate of decay.

First, substitute the given values: P(t) = 120,000 * (1 - 0.014)15.

Next, calculate the population after 15 years: P(t) = 120,000 * (0.986)15 = 109,570.