Unit Rates and Proportions: A Measurement Challenge

A tree casts a shadow of 15 feet when a 5-foot tall person stands next to it. How tall is the tree if the lengths of the shadows are proportional?

• 8 feet

• 5 feet

• 10 feet

• 12 feet

A car travels 120 miles in 2 hours. What is the unit rate of miles per hour for the car?

• 75 miles per hour

• 100 miles per hour

• 60 miles per hour

• 50 miles per hour

A recipe requires 3 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?

• 7.5 cups

• 5 cups

• 10 cups

• 4.5 cups

A scale model of a building is 1:50. If the model is 2 meters tall, how tall is the actual building?

• 75 meters

• 50 meters

• 200 meters

• 100 meters

A graph shows the relationship between the number of hours worked and the amount earned. If 10 hours worked results in $150 earned, what is the unit rate of earnings per hour?

• $15 per hour

• $10 per hour

• $12 per hour

• $20 per hour

A map shows that 1 inch represents 20 miles. If two cities are 3 inches apart on the map, how far apart are they in real life?

• 40 miles

• 80 miles

• 60 miles

• 100 miles

A swimming pool is 25 meters long. If a swimmer takes 10 strokes to swim the length of the pool, how many meters does the swimmer cover per stroke?

• 4.0 meters

• 2.5 meters

• 1.5 meters

• 3.0 meters

A table shows the number of books read by students over a month. If one student reads 8 books in 4 weeks, what is the unit rate of books read per week?

• 1 book per week

• 2 books per week

• 3 books per week

• 4 books per week

A recipe calls for 4 tablespoons of sugar for every 2 cups of flour. How many tablespoons of sugar are needed for 5 cups of flour?

• 6 tablespoons

• 10 tablespoons

• 8 tablespoons

• 12 tablespoons

A shadow of a 6-foot tall person is 9 feet long. If a building casts a shadow of 45 feet, how tall is the building based on the proportional relationship?

• 25 feet

• 15 feet

• 35 feet

• 30 feet