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yKpoI14uk [10]
3 years ago
10

A city has a population of 400,000 people. Suppose that each year the population grows by 3.75%. What will the population

Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

The population after 15 years will be 694,835\ people

Step-by-step explanation:

In this problem we have a exponential function of the form

f(x)=a(b^{x})

where

a is the initial value

b is the base

r is the rate

b=(1+r)

x ----> the number of years

f(x) ----> the population

we have

a=400,000\ people

r=3.75\%=3.75/100=0.0375

b=1+r=1+0.0375=1.0375

The equation is

f(x)=400,000(1.0375^{x})

For x=15 years

substitute the value of x

f(x)=400,000(1.0375^{15})

f(x)=694,835\ people

therefore

The population after 15 years will be 694,835\ people

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