Scale Proportions

The scale of a map says that 6 cm represents 15 km. What distance on the map represents an actual distance of 6 kilometers?

Which proportion represents the problem?

• $\frac{6}{6}=\frac{15}{x}$

• $\frac{15}{6}=\frac{x}{6}$
  

• $\frac{6}{15}=\frac{x}{6}$
  

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

The scale of a map says that 6 cm represents 15 km.
What is the actual number of kilometers that is represented by 16 cm on the map?

Select the correct proportion that represents the problem

•  $\frac{6}{15}=\frac{16}{x}$  

•  $\frac{15}{6}=\frac{16}{x}$  
  

•  $\frac{6}{16}=\frac{x}{15}$  
  

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Sharon is decreasing the size of a diagram of a leaf that is 30 centimeters long by 10 centimeters wide. If the reduced diagram is 4 centimeters wide, how long will it be?

Select the proportion that represents this problem

• $\frac{30}{10}=\frac{4}{x}$

• $\frac{30}{10}=\frac{x}{4}$
  

• $\frac{30}{4}=\frac{10}{x}$

• $\frac{4}{30}=\frac{10}{x}$

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

On Carlos’s map, Greenville and North Valley are 4.5 inches apart. The scale on his map is 1 inch = 20 miles. How far is Greenville from North Valley?

• $\frac{1}{20}=\frac{4.5}{x}$

• $\frac{1}{20}=\frac{x}{4.5}$
  

• $\frac{1}{4.5}=\frac{x}{20}$
  

• $\frac{4.5}{1}=\frac{20}{x}$
  

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

On a map, Mesquite is 5 inches from Dallas. If the map's scale is 1 inche = 3 miles, what is the actual distance from Mesquite to Dallas?

• 15
• 5
• 10
• 14

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

Using 2 in = 35 miles, solve: The distance between Troy City and Ben City is 315 miles. How far apart are they on the map?

• $\frac{2}{35}=\frac{315}{x}$

• $\frac{2}{35}=\frac{x}{315}$

• $\frac{35}{315}=\frac{x}{2}$

• $\frac{2}{315}=\frac{35}{x}$
  

Tags

CCSS.7.EE.B.4

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

• 9ft x 10ft
• 1ft x 2ft
• 12ft x 6ft
• 18ft x 20ft

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

• 200 miles

• 175 miles

• 100 miles

• 125 miles

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

• 90 ft
• 7.5 ft 
• 4.5 ft
• 45 in

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot? 

• 63 m
• 235 m
• 315 m
• 630 m

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2