Word Problems
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
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
TRUE or FALSE:
The constant of proportionality is 0.4.

TRUE
Write an equation to show the relationship between dog food, y, and days, x. 
Equation: y = 0.4x

YES, Proportional
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
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
TRUE or FALSE:


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

Equation: y = 3x


YES, Proportional
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
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
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
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

What is the Constant of Proportionality?
Constant of Proportionality: 0.5 or 1/2
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
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.
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
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


Equation: y = 9x