Question

The population of Mexico in 2000 was approximately 103,970,000 and the land area was 761,700 square miles. The population increased by 13.4% in 2010. To the nearest whole number, how much was the population density, in people per square mile, increase in 2010?

Answer 1

Answer: 19 people per sqaure mile

Step-by-step explanation:

Given : Population in 2000 = 103,970,000

The population increased by 13.4% in 2010.

Population in 2010 = 103,970,000 + 13.4% of (103,970,000)

= 103,970,000+ (0.134)(103,970,000)

= 103,970,000(1+0.134)

=103,970,000(1.134)

=117,901,980

In 2000,

Population density= $\dfrac{\text{Population}}{\text{Area}}$

$=\dfrac{103970000}{761700}\approx 136\text{ people per square mile}$

In 2010

Population density = $\dfrac{\text{Population}}{\text{Area}}$

$=\dfrac{117901980}{761700}\approx155\text{ people per square mile}$

Difference = 155-136 = 19 people per sqaure mile

Hence, the increase in population density in 2010 = 19 people per sqaure mile