Question

A country's population in 1994 was 76 million.

In 1998 it was 81 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.

Answer 1

Person is Is right! ^^ 108

Answer 2

This is the same question I just did, but I'll do it again. After that, I check answers.

Short Answer

k = 0.01592895

2016 = 107.89

Finding K

A = 76

P = 81

t = 1998 - 1994 = 4 years

P = A e ^(kt)

81 = 76 e^(k*4)

81/76 = e^(4*k)

1.065789 = e^(4k)

ln(1.065789) = ln(e^4k)

0.063715814 = ln(e^4k)

0.063715814 = 4k* ln(e) but ln(e) = 1

0.063715814 = 4k

k = 0.063715814/4

k = 0.01592895 As predicted. Don't round this. Keep it in your calculator.

Finding 2016

t = 2016 - 1994 = 22 years.

k = 0.01592895

A = 76

P = ??

P = Ae^(kt)

P = 76 e^ (0.01592895* 22)

P = 76 * e ^ 0.350436979

P = 76 * 1.419687787

P = 107.89

Which rounded = 108 million.