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OLEGan [10]
3 years ago
13

A countries population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponentia

l growth formula round your answer to the nearest million. P=Ae^kt
Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Answer:

The population in 2017  is 171 million

Step-by-step explanation:

Let's assume population starts from 1991

so,

initial population is 147 million

so, A=147

we can use formula

P=Ae^{kt}

we can plug A=147

P=147e^{kt}

In 1998:

t=1998-1991=7

P=153

now, we can plug these values into formula and find k

153=147e^{7k}

Divide both sides by 147

\frac{147e^{7k}}{147}=\frac{153}{147}

e^{7k}=\frac{51}{49}

\ln \left(e^{7k}\right)=\ln \left(\frac{51}{49}\right)

k=\frac{\ln \left(\frac{51}{49}\right)}{7}

k=0.00572

now, we can plug it back

and we get

P=147e^{0.00572t}

In 2017:

t=2017-1991=26

we can plug it and find P

P=147e^{0.00572\times 26}

P=170.57

So,

The population in 2017  is 171 million

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