Question

The population of a particular country was 25 million in 1982; in 1992, it was 35 million. The exponential growth function describes the population of this country t years after 1982. Use the fact that 10 years after 1982 the population increased by 10 million to find k to three decimal places.

Answer 1

A = 29 + 8= 37
T = 6

I think

Answer 2

The required value of k is 0.014.

Population given in the form of exponential function P = 25000e^kt. Value of k to be determine.

What is exponential function?

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).

Here,
After t = 10 years population increases by 10 million.
So,
35000 = 25000e^10k
e^10k=35/25
10k= log(35/25)
10k = 0.146
k = 0.014

Thus, the required value of k is 0.014.

 

Learn more about exponential function here:
brainly.com/question/15352175

#SPJ2