Question

The population of a city is 35,400. The population is expected to grow at a rate of 2% each year. Which function equation represents the population of the city after t years?

Option 1: f(t)=35,400×(1.02)^t
Option 2: f(t)=35,400×(2)^t
Option 3: f(t)=35,400×(1.2)^t
Option 4: f(t)=35,400×(0.02)^t

Answer 1

The function equation that represents the population of the city after t years is f(t) = 35,400 * (1.02)^t.

Step-by-step explanation:

The function equation that represents the population of the city after t years is f(t) = 35,400 × (1.02)^t.

This equation takes the initial population of the city, 35,400, and multiplies it by the growth factor, 1.02, raised to the power of t, which represents the number of years.

By using this equation, we can calculate the population of the city after any number of years.