Question

in 2004 the population of a country was 15,000. the population is expected to grow at a rate of 0.3% each year. write an equation that models the population after t years​

Answer 1

The equation that models the population after t years is:

$y=15000(1.003)^t$

Step-by-step explanation:

The formula for exponential growth is given by;

$y=a(1+r)^x$

where

y=exponential growth

a=initial value (amount before measuring growth)

r=growth rate expressed as a decimal or percentage

x=number of time intervals that have passed

In the question;

a=15000

r=0.3% = 0.3/100 = 0.003

x=t

Substituting values  in the exponential equation;

$y=a(1+r)^x\\\\y=15000(1+0.003)^t\\\\y=15000(1.003)^t$

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Keywords :population, growth, rate,equation, models

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