Grade 7 | Unit 2 | Lesson 2: Introducing Proportional Relationships with Tables | Practice Problems

When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to make batches of different sizes. Use the information in the table to complete the statements. Some terms are used more than once. The table shows a proportional relationship between ______________ and ______________. The scale factor shown is ______________. The constant of proportionality for this relationship is______________. The units for the constant of proportionality are ______________ per ______________.

• tablespoons of chocolate syrup

• 4

• cups of milk

• cup of milk

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should be added to 1 cup of white paint? cups of white paint cups of red paint 1 7 3 What is the constant of proportionality?

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. What is the actual area of the park? Show how you know.

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A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure. At what scale should the map be reproduced so that it fits on the brochure? Show your reasoning.

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Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did Noah apply to Polygon P to create Polygon Q? Explain or show how you know.

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Select all the ratios that are equivalent to each other.