Lesson 10: Practice Problems

Problem 1

Which graphs could represent a proportional relationship? Explain how you decided.

  1. Graph of a line labeled in the xy coordinate plane with the origin labeled “O”. The x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. the line begins at the origin and moves steadily upward and to the right.
  2. Graph of a curve labeled in the xy coordinate plane with the origin labeled “O”. The x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. The curve begins at the origin and moves upward and to the right. It moves slowly in the beginning and then goes steeply upward.
  3. Graph of a line labeled in the xy coordinate plane with the origin labeled “O”. The x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. The line begins at the origin and moves slowly upward and to the right.
  4. Graph of a line labeled in the xy coordinate plane with the origin labeled “O”. The x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. The line begins on the vertical axis and above the origin. It moves slowly upward and to the right.

Problem 2

A lemonade recipe calls for cup of lemon juice for every cup of water.

Use the table to answer these questions.

  1. What does represent?

  2. What does represent?

  3. Is there a proportional relationship between and ?

  4. Plot the pairs in the table in a coordinate plane.

    blank grid

Problem 3 From Unit 2 Lesson 9

Select all of the pieces of information that would tell you and have a proportional relationship. Let represent the distance between a rock and a turtle’s current position in meters and represent the number of minutes the turtle has been moving.

  2. After 4 minutes, the turtle has walked 12 feet away from the rock.

  3. The turtle walks for a bit, then stops for a minute before walking again.

  4. The turtle walks away from the rock at a constant rate.

Problem 4 From Unit 2 Lesson 7

Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?

  1. The sizes you can print a photo:

    width of photo (inches)

    height of photo (inches)

  2. The distance from which a lighthouse is visible:

    height of a lighthouse (feet)

    distance it can be seen (miles)