Unit Rate:
Word Problems
Scaling:
Word Problems
Constant of Proportionality: Graphs / Word Problems
Writing Equations:
Graphs / Word Problems
Tables
100

The number of cups of flour in a cookie recipe is proportional to the number of cups of water.
The recipe uses 3 cups of water for every 6 cups of flour. How many cups of flour are needed for 1 cup of water?

2 cups of flour

100

The scale from a drawing of a fountain to the actual fountain is 4 inches to 12 ft. . The fountain measures 7 inches in the drawing, how tall is the actual fountain?

21 feet

100

TRUE or FALSE:

The constant of proportionality is 0.4.

 

TRUE

100

Write an equation to show the relationship between dog food, y, and days, x.

Equation: y = 0.4x

100

YES, Proportional

200

The number of cups of blueberries in a muffin recipe is proportional to the number of cups of flour.
The recipe uses 3 cups of blueberries for every  1/2  cup of flour. How many cups of blueberries are needed for 1 cup of flour?

6 cups of blueberries

200

Ethan builds a model car. The scale from the actual car to the model car is 4 ft to 1 in. The actual car is 36 ft long. 

What is the length of the model car?

9 inches

200

TRUE or FALSE:

TRUE

200

Write an equation to show the relationship between cost, y, and weight, x.


Equation: y = 3x

200


YES, Proportional

300

A penguin walks  1/3  mile in  1/5  hour. What is the penguin’s speed in miles per hour?

  • Fraction form:  5/3  miles per hour

  • Decimal form: 1.667 miles per hour

300

Liam makes a blueprint of a garden. The scale from the actual garden to the blueprint is 7 m to 1 cm.
The blueprint shows the side of a square patio as 6.5 cm.
What is the actual length of one side of the patio?

45.5 meters

300

The number of cups of blue paint in a mixture is proportional to the number of cups of red paint.
The mixture uses 6 cups of blue paint per 1/2 cup of red paint.
What is the constant of proportionality for the relationship of cups of blue paint to cups of red paint?

Constant of proportionality: 12

300

The mixture uses 6 cups of blue paint per  1/2  cup of red paint. Write an equation to show the relationship between the cups of blue paint, y, and the cups of red paint, x.
Show your work.


Equation: y = 12x

Test Answer: b = 12r

300

What is the Constant of Proportionality?

Constant of Proportionality: 0.5 or  1/2 

400

For every  2/5  mile that Sarah swims, Mia swims  3/4  mile. How many miles does Sarah swim for every 1 mile that Mia swims?

  • Fraction form:  8/15 

  • Decimal form: 0.533

400

Noah makes a scale drawing of a rectangular swimming pool. The scale from the actual pool to the scale drawing is 8 feet to 1 inch.
The dimensions of the actual pool are 40 ft by 24 ft.
What are the dimensions of the pool in the drawing?

The dimensions of the pool in the drawing are:

 5 inches by 3 inches.

400

The number of cups of orange juice in a smoothie is proportional to the number of cups of pineapple juice.
The recipe uses 3 cups of orange juice per 3/4 cup of pineapple juice.
What is the constant of proportionality for the relationship of cups of orange juice to cups of pineapple juice?

Constant of proportionality: 4

400

The recipe uses 3 cups of orange juice per  3/4  cup of pineapple juice.
Write an equation to show the relationship between the cups of orange juice, y, and the cups of pineapple juice, x.

Equation: y = 4x

Test Answer: j = 4p

400


Equation: y = 9x

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