Map Distances and Scale Factors

This video tutorial explains how to use proportions to solve application problems. It includes two examples: one involving a park hiking map to find the actual distance using a given scale, and another to calculate the scale factor for a map. The tutorial demonstrates setting up proportions, simplifying equations, and solving for unknowns using cross-multiplication and clearing fractions.

What is the scale factor used in the first example of the park hiking map?

• 1 to 12

• 1 to 8

• 1 to 5

• 1 to 10

How is a proportion formed in the context of the first example?

• By adding two ratios

• By multiplying two ratios

• By subtracting two ratios

• By setting two ratios equal

What is the actual distance to the lookout point if the map distance is 1.75 inches?

• 14 miles

• 16 miles

• 12 miles

• 10 miles

In the second example, what is the given map distance for 165 miles?

• 1 inch

• 1.5 inches

• 2 inches

• 2.5 inches

What is the scale factor found in the second example?

• 1 to 130

• 1 to 120

• 1 to 100

• 1 to 110