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IM: 7.4.3: Revisiting Proportional Relationships (Lesson)

By Newsela Staff
Last updated 2 months ago
13 Questions
3.1: Recipe Ratios
1.

A recipe calls for 1/2 cup sugar and 1 cup flour. Complete the table to show how much sugar and flour to use in different numbers of batches of the recipe.

3.2: The Price of Rope
Two students are solving the same problem: At a hardware store, they can cut a length of rope off of a big roll, so you can buy any length you like. The cost for 6 feet of rope is $7.50. How much would you pay for 50 feet of rope, at this rate?
2.

Kiran knows he can solve the problem this way.


What would be Kiran's answer?

3.

Kiran wants to know if there is a more efficient way of solving the problem. Priya says she can solve the problem with only 2 rows in the table.


What do you think Priya's method is?

3.3: Swimming, Manufacturing, and Painting
Tyler swims at a constant speed, 5 meters every 4 seconds.

4.

How long does it take him to swim 114 meters?

5.

Write an equation to represent this proportional relationship.

A factory produces 3 bottles of sparkling water for every 8 bottles of plain water.

6.

How many bottles of sparkling water does the company produce when it produces 600 bottles of plain water?

7.

Write an equation to represent this proportional relationship.

A certain shade of light blue paint is made by mixing 11/2 quarts of blue paint with 5 quarts of white paint.
8.

How much white paint would you need to mix with 4 quarts of blue paint?

9.

Write an equation to represent this proportional relationship.

Are you ready for more?

Different nerve signals travel at different speeds.

  • Pressure and touch signals travel about 250 feet per second.
  • Dull pain signals travel about 2 feet per second.
10.

How long does it take you to feel an ant crawling on your foot?

11.

How much longer does it take to feel a dull ache in your foot?

3.4: Finishing the Race and More Orange Juice
12.

Lin runs 23/4 miles in 2/5 of an hour. Tyler runs 82/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles at that rate?

13.

Priya mixes 21/2 cups of water with 1/3 cup of orange juice concentrate. Diego mixes 12/3 cups of water with 1/4 cup orange juice concentrate. How much concentrate should each of them mix with 100 cups of water to make juice that tastes the same as their original recipe? Explain or show your reasoning.