Question

the population density of a certain 750 square mile area in 1980 was 1077 people per square mile. in 1990, the population density was 1137 people per square mile. in 2000, the population density was 1144 people per square mile. in 2010, the population density was 1193 people per square mile. which decade had the smallest percentage increase in population? a 1990 to 2000 b 2000 to 2010 c 1980 to 2000 d 1980 to 1990

Explanation:

Step1: Calculate percentage increase for 1980 - 1990

The formula for percentage increase is \(P=\frac{\text{New}-\text{Old}}{\text{Old}}\times100\).
For 1980 - 1990: Old = 1077, New = 1137.
\(P_{1980 - 1990}=\frac{1137 - 1077}{1077}\times100=\frac{60}{1077}\times100\approx5.57\%\)

Step2: Calculate percentage increase for 1990 - 2000

Old = 1137, New = 1144.
\(P_{1990 - 2000}=\frac{1144 - 1137}{1137}\times100=\frac{7}{1137}\times100\approx0.62\%\)

Step3: Calculate percentage increase for 2000 - 2010

Old = 1144, New = 1193.
\(P_{2000 - 2010}=\frac{1193 - 1144}{1144}\times100=\frac{49}{1144}\times100\approx4.28\%\)

Step4: Analyze option c (1980 - 2000 is not a decade, it's two - decade period)

Since the question asks for the percentage increase in a decade (10 - year period), option c is not valid as it is a 20 - year period.

Answer:

A. 1990 to 2000