Question

A 3-column table with 4 rows is shown. The first column has entries Florida, Hawaii, Montana, Oregon. The second column is labeled Population with entries 19,317,568, 1,392,313, 1,005,141, and 3,899,353. The third column is labeled Area (miles squared) with entries 53,927, 6,423, 145,552, and 95,997.
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.

Answer 1

To determine the truth of the statements, we need to calculate the population density for each state, which is defined as the population divided by the area (in square miles).

Here are the calculations for each state:

1. **Florida:**
- Population: 19,317,568
- Area: 53,927 sq miles
- Population Density = 19,317,568 / 53,927 ≈ 358.5 people per sq mile

2. **Hawaii:**
- Population: 1,392,313
- Area: 6,423 sq miles
- Population Density = 1,392,313 / 6,423 ≈ 217.2 people per sq mile

3. **Montana:**
- Population: 1,005,141
- Area: 145,552 sq miles
- Population Density = 1,005,141 / 145,552 ≈ 6.9 people per sq mile

4. **Oregon:**
- Population: 3,899,353
- Area: 95,997 sq miles
- Population Density = 3,899,353 / 95,997 ≈ 40.6 people per sq mile

Now we analyze the statements:

1. **The population density for Montana can be found using the ratio 1,005,141:145,552.**
- **True** - Population density is indeed the ratio of population to area.

2. **The population density for Oregon can be found using the ratio 95,997:3,899,353.**
- **False** - This ratio is incorrectly ordered. It should be population:area (3,899,353:95,997).

3. **The population density for Hawaii is greater than the population density for Florida.**
- **False** - Hawaii's density (≈ 217.2) is less than Florida's (≈ 358.5).

4. **The state with the smallest population density is Oregon.**
- **False** - Montana has the smallest population density (≈ 6.9), followed by Oregon (≈ 40.6).

5. **The state with the smallest population density is Montana.**
- **True** - Montana has the smallest population density of the four states.

Therefore, the true statements are:

- 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.