Solving Proportions and Scale Factors

The video tutorial introduces scale factor word problems, explaining how to solve them using proportions and cross multiplication. Two examples are provided: one using inches and miles, and another using centimeters and miles. The teacher demonstrates setting up proportions and solving for the actual distance between cities on a map. The video concludes with an offer of support for students needing further assistance.

What is the first step in solving scale factor word problems?

• Draw a map

• Use a calculator

• Set up a proportion

• Guess the answer

In the first example, what is the scale given on the roadmap?

• 1 inch equals 5 miles

• 1 inch equals 11 miles

• 1 inch equals 20 miles

• 1 inch equals 15 miles

How do you determine where to place the 2.2 inches in the proportion?

• It goes on the top

• It goes on the bottom

• It goes in the middle

• It doesn't matter

What operation is used to solve the proportion in the first example?

• Subtraction

• Cross multiplication

• Division

• Addition

What is the actual distance between Plainview and Olton in the first example?

• 26.2 miles

• 28.2 miles

• 22.4 miles

• 24.2 miles

In the second example, what is the scale given on the roadmap?

• 1 centimeter equals 1000 miles

• 1 centimeter equals 100 miles

• 1 centimeter equals 200 miles

• 1 centimeter equals 500 miles

Where should the 2.2 centimeters be placed in the proportion for the second example?

• On the bottom

• On the top

• In the middle

• It doesn't matter

What is the result of 2.2 times 500 in the second example?

• 1200

• 1100

• 1300

• 1000

What is the actual distance between New York City and Memphis in the second example?

• 1000 miles

• 1100 miles

• 1300 miles

• 1200 miles

What should you do if you have questions about the problems?

• Ignore them

• Email the teacher

• Ask a friend

• Search online