Salem and Eugene, Oregon, are 64 miles apart. If the distance on the map is 3 1/4 inches, find the scale on the map
Hm, if 3.25, (written as a decimal of 3 1/4) was 64 miles, let's find a unit rate.
3.25 inches = 64 miles
Divide both sides by 3.25.
1 inch. would be 19.7 miles, estimated to the nearest tenth, 19.69, estimated to the nearest hundredth, and 19.692 when estimated to the nearest thousandth.
Using proportions, it is found that the scale on the map is of 1 mile: 0.051 inches.
A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, we have that on the map, 64 miles represent 3.25 inches. How many inches are there in 1 mile?
The rule of three is:
64 miles - 3.25 inches
1 mile - x inches
Applying cross multiplication:
\(64x = 3.25\)
\(x = \frac{3.25}{64}\)
\(x = 0.051\)
Hence, the scale on the map is of 1 mile: 0.051 inches.
You can learn more about proportions at https://brainly.com/question/24372153