Question

URGENT)

In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year. At this growth rate, the function f(x) = 100(1.0153)^x gives the population, in millions, x years after 2000. Using this model, in what year would the population reach 106 million? Round your answer to the nearest year.

A 500
B 2004
C 2005
D 2002

Answer 1

2004

Explanation:

Answer 2

B. 2004.

Explanation:

f(x) = 100(1.0153)^x

When f(x) = 106 million:

106 = 100(1.0153)^x

(1 .0153)^x = 106/100 = 1.06

Taking logs:

x ln 1.0153 = ln 1.06

x = ln 1.06 / ln 1.0153

= 3.837

So x = 4 years.

So the year is 2000 + 4 = 2004.