Question

which statements are true? check all that apply
the population density for montana can be found using the ratio 1,005,141:145,552
the population density for oregon can be found using the ratio 95,997:3,899,353
the population density for hawaii is greater than the population density for florida
the state with the smallest population density is oregon
the state with the smallest population density is montana

Explanation:

Step1: Recall population density formula

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

Step2: Check Montana's ratio

For Montana, population = $1,005,141$ and area = $145,552$. So ratio for population density is $\frac{1,005,141}{145,552}$. First statement is correct.

Step3: Check Oregon's ratio

For Oregon, population = $3,899,353$ and area = $95,997$. Ratio for population density should be $\frac{3,899,353}{95,997}$, not $\frac{95,997}{3,899,353}$. Second statement is wrong.

Step4: Calculate population densities

For Hawaii: $\frac{1,392,313}{6,423}\approx216.77$
For Florida: $\frac{19,317,568}{53,927}\approx358.22$
Since $216.77<358.22$, third statement is wrong.

Step5: Calculate population densities for Montana and Oregon

Montana: $\frac{1,005,141}{145,552}\approx6.91$
Oregon: $\frac{3,899,353}{95,997}\approx40.62$
Since $6.91 < 40.62$, fifth statement is correct, fourth is wrong.

Answer:

The population density for Montana can be found using the ratio $1,005,141:145,552$; The state with the smallest population density is Montana.