Unit Rates with Visual Models

A cleaning recipe uses 1/8 tablespoon of vinegar for each 1/3 cup of water. Using a unit rate, how many tablespoons of vinegar are needed for 4 cups of water?

• 1 1/2 tablespoons of vinegar

• 1 tablespoon of vinegar

• 3/4 tablespoon of vinegar

• 2 tablespoons of vinegar

A line on a coordinate plane represents a proportional relationship if it does which of the following?

• is horizontal and above the origin

• starts above the origin then flattens

• is curved and crosses the y-axis

• passes through the origin and is straight

The graph shows Mr. Previs grading essays with a straight line through the origin. If after 4 hours he has graded 6 essays, how many essays will he grade in 10 hours?

A table shows a proportional relationship: x: 3, 6, 9, 12 and y: 6, 12, 18, 24. What is the constant of proportionality k = y/x?

• k = 2

• k = 1

• k = 4

• k = 3

The graph shows a straight line through the origin with a marked point at (6, 15). What is the constant of proportionality k of this relationship?

• k = 5/6

• k = 6/5

• k = 2/5

• k = 5/2

A student’s work rate graph passes through the point (1, 7). Explain what this point means and write the equation for the relationship.

Anya drinks 75% of her daily water before 4 p.m. She drinks 40 ounces in a day. How many ounces does she drink after 4 p.m.?

• 8 ounces

• 9 ounces

• 10 ounces

• 12 ounces

Tyler ran 1 mile in 12 minutes at first and later in 9 minutes. What is the percent decrease in his time to run 1 mile?

• 33% decrease

• 30% decrease

• 25% decrease

• 20% decrease

• Shirts, because 2.5 is 20% of 12.5

• Shirts, because 2.5 is 15% of 12.5

• Pants, because 4.5 is 15% of 30

• Pants, because 4.5 is 20% of 30

A rocket launches to 126.25 feet above ground and then descends the same distance back to the ground, as shown. Which equation models this situation using an additive inverse?

• 126.25 + 126.25 = 252.5

• 126.25 + (−126.25) = 0

• −126.25 + (−126.25) = −252.5

• 0 + 126.25 = 126.25