Solving Proportions with Scale Factor

• 200 ft

• 12.5 ft

• 100 ft

• 50 ft

The art class is planning to paint a mural on an outside wall. This figure is a scale drawing of the wall. If the height of the scale drawing is 11 inches, what is the height of the actual drawing?

• 7.5 ft

• 13.5 ft

• 14.75 ft

• 16.5 ft

The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.

• 165 miles

• 50 miles

• 82.5 miles

• 41.25 miles

The art class is planning to paint a mural on an outside wall. This figure is a scale drawing of the wall. If the width of the scale drawing is 28 inches, what is the width of the actual drawing?

• 48 ft

• 42 ft

• 36 ft

• 56 ft

Set up a proportion and solve for the missing side X:

• 3

• 4.5

• 2

• 5.5

Solve for x by setting up proportions.

• x = 15

• x = 30

• x = - 24

• x = 24

Is this proportional? What is the scale factor?

• Yes, the two ratios are equal. The scale factor is 10.

• No, the two ratios are not equal. The scale factor is 10.

• Yes, the two ratios are equal. The scale factor is 100.

• No, the two ratios are not equal. The scale factor is 100.

Which sides correspond with one another?

• 1 and 2; 2 and 3; 6 and 7; 8 and 5

• 1 and 5; 2 and 6; 3 and 7; 4 and 8

• 1 and 7; 3 and 5; 6 and 4; 8 and 2

How can you solve for the missing part in proportional relationships? (2 answers)

• Giant 1

• Multiplying the fractions

• Common multiplier (also known as the scale factor)

• Dividing the fractions

What is another name for the "common multiplier"

• chosen number

• scale factor

• Giant one