Question

A country's population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponential growth formula. Round your answer to the nearest millon.

Answer 1

Answer: 146 million

Explanation:

Answer 2

P = 147 million

Step by step explanation

P = Po r^t -------------(1)

Po initial population, r = rate, t = number of years

Here P = 139, Po = 134, t = 10.

Now plug in these values into the formula and find the rate r.

139 = 134r^10

r^10 = 139/134

r = (139/134)^1/10

Now we got r, now plug in the equation (1)

Let's find the population in the year 2014, here t = 24

P = 134 (139/134)^(24/10)

P = 134(139/134)^(2.4)

P = 134*1.1

P = 147.4

P = 147 million

The country's population in 2014 is 147 million (estimation).

Thank you.