Question

Vector's map has the scale missing. He knows that the distance for the lake to the youth center is 8 miles. On the map, they are two inches apart. What is the scale for Vector's map

Answer 1

On the map they are 2 inches, the real distance is 8 miles
The scale is 2 inches:8 miles or 1 inch on the map is 4 miles

Answer 2

The scale factor is 1/4.

Explanation:

Givens

• The actual distance from the lake to the youth center is 8 miles.
• On the map, the distance is 2 inches.

According to the problem, each 2 inches are equivalent to 8 miles of actual distance.

The scale factor can be found by dividing

`s=(2)/(8)=(1)/(4)`

Therefore, the scale factor of Vector's map is 1/4, because the actual distance is 4 times bigger.