Question

The population (in millions) of a certain country can be approximated by the

function P(x) = 50(1.03)^x, where x is the number of years since 2000. In
which year will the population reach 100 million? Hint: An answer such as
2002.4 would represent the year 2002.
A. 2002
B. 2023
C. 2066
D. 2132

Answer 1

B

Explanation:

Answer 2

B

Explanation:

To answer this question, set the equation equal to 100 and solve for x. Thus:

`100=50(1.03)^x`

`2=(1.03)^x`

`x=\log_(1.03)2\approx23.45\approx23`

Therefore, 23 years after 2000, the population will reach 100 million.

Hence, our answer is B, at the year 2023.