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The population of a town of 2,000 people is increasing by in 1% each year. At this rate, about how many years will it be until the population reaches 2,700 people?

Respuesta :

abidemiokin

It will take about 30 years for the population to reach 2700people

Exponential functions

This are functions that increases geometrically. The standard exponential equation is given as:

A= P(1+r)^t

Given the following

  • P = 2000
  • A =2700
  • r = 1% = 0.01

Substitute

2700 = 2000(1+0.01)^t
1.35 = 1.01^t
t = ln1.35/ln1.01

t= 30.16

This shows that it will take about 30 years for the population to reach 2700people

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

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