Quiz on Proportional Relationships

Which graph represents a proportional relationship?

• A

• B

• C

• D

The graph shows the cost $ C $ in dollars of $ w $ pounds of blueberries, a proportional relationship. Select all the true statements.

• 1 pound of blueberries costs $2.75.

• 2.75 pounds of blueberries cost $1.

• 5 pounds of blueberries cost $15.50.

• 12 pounds of blueberries cost $33.

• The point (3, 9) is on the graph of the proportional relationship.

Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which of these equations represents the amount of time $ t $ (in minutes) that it takes him to ride a distance of $ d $ miles?

• t = 5d

• t = 1/5d

• t = d + 4

• t = d - 4

The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more quickly?

• Container A

• Container B

• Both are filling at the same rate

• Cannot be determined

The table shows the weights of apples at a grocery store. Complete the table so that there is a proportional relationship between the number of apples and their weight.

• The weight of 2 apples is 300 grams.

• The weight of 3 apples is 450 grams.

• The weight of 4 apples is 600 grams.

• The weight of 5 apples is 800 grams.

The equation relates temperature measured in degrees Celsius, $ C $, to degrees Fahrenheit, $ F $. Is there a proportional relationship between $ C $ and $ F $? Choose the correct option.

• Yes, because the equation is a direct variation.

• No, because the equation includes a constant term.

• Yes, because both variables are related linearly.

• No, because the equation is not a linear function.

A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship between the amount of oil and the amount of vinegar needed to make salad dressing according to this recipe. The point (1, 1.5) is on the line. What should the axes be labeled as?

• Oil on the x-axis, Vinegar on the y-axis

• Vinegar on the x-axis, Oil on the y-axis

• Both axes labeled as Oil

• Both axes labeled as Vinegar

Write an equation that represents the proportional relationship between oil and vinegar. Indicate the meaning of each variable.

• v = ko, where v is vinegar and o is oil

• o = kv, where o is oil and v is vinegar

• v = o + k, where v is vinegar and o is oil

• o = v - k, where o is oil and v is vinegar

Explain the meaning of the point (1, 1.5) in terms of the situation.

• The point represents a coordinate on a graph.

• The point indicates a specific location in a diagram.

• The point shows a relationship between two variables.

• The point is a random selection with no specific meaning.