Question

The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.

CITY LIMIT

BROOKFIELD

POP. 315,000

Write an exponential growth function that represents the population t years after 2000

What will the population be in 2020? Round your answer to the nearest thousand

The population will be about

Answer 1

The population will be about 2972 population in 2020

Exponential functions

The standard exponential equation is expressed as;

y = ab^x

where

• a is the intercept
• b is the initial population
• x is the time

Given the following parameters

• a = 2000
• b = 0.02

Substittute the given parameters into the formula

y = 2000(1.02)^x

If x = 20 (from 2000 to 2020)

The population will be expressed as;

y = 2000(1.02)^20

y = 2972 populations

Hence the population will be about 2972 population in 2020

Learn more on exponential functions here; https://brainly.com/question/12940982