Proportions and Map Scales

The video tutorial explains how to set up and solve proportions. It begins with an introduction to proportions, describing them as two equal fractions with matching units. The tutorial then details the process of solving proportions through cross multiplication. An example using a map scale is provided, demonstrating how to set up and solve a proportion. Finally, a word problem involving gas mileage is solved using the same method, reinforcing the concept of proportions.

What is the first step in setting up a proportion?

• Cross-multiply the fractions

• Set up two fractions with matching units

• Add the fractions together

• Convert units to decimals

When solving a proportion, what do you do after cross-multiplying?

• Add the products together

• Divide the products by each other

• Set the products equal to each other

• Subtract the smaller product from the larger

In the map scale example, what is the proportion set up to find the distance in miles?

• 1 inch = 2 miles

• 1 inch = 4.5 miles

• 4.5 inches = x miles

• 4.5 inches = 2 miles

How many miles does 4.5 inches represent on the map scale?

• 4.5 miles

• 9 miles

• 1 mile

• 2 miles

What is the proportion set up for the Ford F150 word problem?

• 150 miles / 10 gallons = 750 miles / x gallons

• 10 gallons / 150 miles = x gallons / 750 miles

• 150 miles / x gallons = 750 miles / 10 gallons

• 750 miles / 10 gallons = 150 miles / x gallons

How much gas is required to travel 750 miles in the Ford F150?

• 10 gallons

• 150 gallons

• 50 gallons

• 75 gallons

What does the number 50 represent in the Ford F150 problem?

• Gallons of gas used

• Miles per gallon

• Total cost of gas

• Miles traveled

What is the final step in solving a proportion?

• Cross-multiply the fractions

• Set the products equal to each other

• Solve the equation

• Convert units to decimals

What is the key concept to remember when setting up proportions?

• Units must match on both sides

• Fractions must be added

• Fractions must be subtracted

• Units should be converted to decimals