Acountry'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.

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.