Constant of Proportionality Word 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

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Tags

CCSS.7.RP.A.2C

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

Tags

CCSS.7.RP.A.2

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

Tags

CCSS.7.RP.A.2

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

Tags

CCSS.7.RP.A.2C

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.

The equation that models this relationship is y=3x.

What is the perimeter of an equilateral triangle with a side length of 8 feet? Write your answer as a whole number or decimal.

Mathematical Equivalence

ON

Tags

CCSS.7.RP.A.2C

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.

The equation that models this relationship is y=3x.

What is the side length of an equilateral triangle with a perimeter of 27 feet? Write your answer as a whole number or decimal.

Mathematical Equivalence

ON

Tags

CCSS.7.RP.A.2C

To help the environment and make some extra money, Brennan takes his empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Brennan brings in for recycling. There is a proportional relationship between the weight (in

pounds) of the cans Brennan brings into the shop, x, and the amount (in dollars) the shop pays Brennan, y.

Last month, the shop paid Brennan $12.60 for 30 pounds of cans.

Write the equation for the relationship between x and y.

Mathematical Equivalence

ON

Tags

CCSS.7.RP.A.2C

To help the environment and make some extra money, Brennan takes his empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Brennan brings in for recycling. There is a proportional relationship between the weight (in

pounds) of the cans Brennan brings into the shop,

x, and the amount (in dollars) the shop pays Brennan, y.

The equation that models this relationship is y=0.42x.

How many pounds of cans does Brennan need to bring in to get paid $18.90? Write your answer as a whole number or decimal.

Mathematical Equivalence

ON

Tags

CCSS.7.RP.A.2C

To help the environment and make some extra money, Brennan takes his empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Brennan brings in for recycling. There is a proportional relationship between the weight (in pounds) of the cans Brennan brings into the shop, x, and the amount (in dollars) the shop pays Brennan, y.

The equation that models this relationship is y=0.42x.

How much money would the shop pay Brennan for 50 pounds of cans? Write your answer as a whole number or decimal.

Mathematical Equivalence

ON

Tags

CCSS.7.RP.A.2C