Constant of Proportionality Problems

Melissa's class is having a holiday party, and she is in charge of bringing juice. She decides to bring powdered juice mix and add water to it at school. There is a proportional relationship between the volume of water Melissa uses to make the juice (in liters), x, and the number of scoops of juice mix she uses, y. To make the juice, Melissa combines 4 liters of water and 8 scoops of juice mix. Write the equation for the relationship between x and y.

Mathematical Equivalence

ON

Melissa's class is having a holiday party, and she is in charge of bringing juice. She decides to bring powdered juice mix and add water to it at school. There is a proportional relationship between the volume of water Melissa uses to make the juice (in liters), x, and the number of scoops of juice mix she uses, y. The equation that models this relationship is y=2x. How many scoops of juice mix should Melissa combine with 5 liters of water? Write your answer as a whole number or decimal.

Mathematical Equivalence

ON

Melissa's class is having a holiday party, and she is in charge of bringing juice. She decides to bring powdered juice mix and add water to it at school. There is a proportional relationship between the volume of water Melissa uses to make the juice (in liters), x, and the number of scoops of juice mix she uses, y. The equation that models this relationship is y=2x. How many liters of water should Melissa combine with 16 scoops of juice mix? Write your answer as a whole number or decimal.

Mathematical Equivalence

ON

Max is finding the perimeter of different-sized equilateral triangles. There is a proportional relationship between the side length of the equilateral triangle in feet, x, and the perimeter of the equilateral triangle in feet, y. An equilateral triangle with 7-foot side lengths has a perimeter of 21 feet. Write the equation for the relationship between x and y.

Mathematical Equivalence

ON

Identify the constant of proportionality.

• k = 2x

• k = 2

• k = 4

• none

What is the constant of proportionality?

• 7

• 14

• 10

• 21

Identify the constant of proportionality

• k = 1/90

• k = 1/30

• k = 90

• k = 30

What is the constant of proportionality?

• $3

• $4

• $2

• $9

Identify the unit rate (scale factor) in this equation.

• 2x

• 2

• 4

• none

Name the constant of proportionality.

• 20

• 40

• 16

• 35