• Solve problems involving scale drawings.

• scale drawing

• scale model

• scale

• scale factor

Use a Map Scale

MAPS What is the actual distance between Daytona Beach and Orlando?

Step 1 Use an inch ruler to find the map distance

between the two cities. The map distance

is about or 1.75 inches.

Use a Map Scale

0.5 d = 17.3 1.75 Cross products

0.5d = 30.275 Multiply.

Step 2 Write and solve a proportion using the scale. Let d represent the actual distance between the cities.

Divide each side by 0.5.

Use a Map Scale

Answer: The actual distance between Daytona Beach and Orlando is about 61 miles.

d = 60.55 Simplify.

A. 21 miles

B. 28 miles

C. 42 miles

D. 56 miles

MAPS The distance on a map has a scale of 0.5 inch = 14 miles. The measured distance between West Palm Beach and Ft. Lauderdale on the map is 1.5 inches. What is the actual distance between these two cities?

Use a Scale Model

MURALS An artist is painting a large mural of

flowers on the side of a school. If she uses the

scale 4 inches = 1 inch, how large will the mural

painting of a rose bloom be if it is inches

high?

4 6.25 = 1 h Cross products

25 = h Multiply.

Use a Scale Model

Answer: The mural painting of the rose bloom will be 25 inches high.

A. 40 in.

B. 55 in.

C. 60 in.

D. 80 in.

FURNITURE A full-size model is being created from a child-size rocking chair which has a height of 15 inches. If the scale to be used is 4 inches = 1 inch, what is the height of the model?

Find a Scale Factor

Find the scale factor of a blueprint if the scale is

inch = 3 feet.

Simplify.

Rewrite the division sentence as a multiplication sentence.

Convert 3 feet to inches. Divide out common units.

Find a Scale Factor

Answer: The scale factor is .

A.

B.

C.

D.

Find the scale factor of a blueprint if the scale is

inch = 5 feet.

BUILDINGS An architect is making a model of an apartment building that is 150 feet tall. Find the scale if the model of the apartment building is 3 inches tall. Using this scale, find the height of the model of a house nearby if the actual height is 25 feet.

Construct a Scale Model

Divide the numerator and denominator by 3 so the numerator equals 1.

The scale is 1 inch = 50 feet. Using this scale, find the height of a model of a nearby house.

Construct a Scale Model

1 25

= 50 x

Find the cross products.

25

= 50x

Multiply.

= x Divide by 50.

Construct a Scale Model

Answer: The scale is 1 inch = 50 feet. The height

of the model of the nearby house is

inch.

A. 1 inch = 12 feet; 24 feet

B. 1 inch = 5 feet; 13 feet

C. 1 inch = 5 feet; 10 feet

D. 1 inch = 3 feet; 6 feet

PARKS Steve is making a model replica of a park near his house. One of the trees in his model is 3 inches tall and represents a tree that is actually 15 feet tall. Find the scale of the model and then using this scale, find the actual height of another tree in his model that is 2 inches tall.