Ratios & Proportions Milestones Review

Rates & Unit Rates

A rate is a ratio that compares two quantities with different units.

A unit rate is ratio that compares two quantities with different units where the denominator of the ratio is 1.

To change the denominator into 1, divide the top and bottom of the ratio by the denominator.

*When working with money, money should be in the numerator.

A grocery store sells a 6-pack of water for $3.79, a 9-pack for $4.50 and a 12-pack for $6.89. What package costs the least per bottle?

• 6-pack

• 9-pack

• 12-pack

Dalila earns $108.75 for working 15 hours as a holiday helper. At this rate, how much money will she earn if she works 18 hours next week?

• $7.25

• $130.50

• $132.50

• Not enough information is given.

Tags

CCSS.6.EE.B.7

CCSS.6.NS.B.3

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Proportional Relationships

Relationships are proportional if they have a constant rate of change.

You can determine this by dividing the y values by the corresponding x-values.

The tables shown represent the number of pages Martin and Gabriel read over time. Which table represents a proportional relationship between the time spent reading and the number of pages read? What is the rate of change for that table?

• Martin's is proportional. The rate of change is 2.5 pages per minute.

• Martin's is proportional. The rate of change is 0.4 pages per minute.

• Gabriel's is proportional. The rate of change is 0.6 pages per minute.

• Gabriel's is proportional. The rate of change is 1.7 pages per minute.

The middle school is planning a family movie night where popcorn will be served. The constant relationship between the number of people (n) and the number of cups of popcorn (p) is shown in the table. How many people can be served with 519 cups of popcorn?

• 173 people

• 180 people

• 240 people

• 130 people

A recipe for making 3 dozen muffins requires 1.5 cups of flour. At this rate, how many cups of flour are needed to make 5 dozen muffins?

• 60.25 cups

• 2.5 cups

• 10 cups

• 3.5 cups

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

The table and graph show the amount of money Mi-Ling and Daniel save each week. Who saves more per week?

• Daniel

• Mi-Ling

Solving Proportional Relationships

Proportions can be solved by multiplying the cross products and then solving the resulting equation.

A model of a building is made using a scale of 1 inch = 25 feet. What is the height of the actual building if the height of the model is 12.5 inches?

• 2 feet

• 312.5 feet

• 0.5 feet

• 415.27 feet

Robert can walk 1/4 of a mile in 4 minutes. How long will it take Robert to walk 2.5 miles?

• 37.5 minutes

• 16 minutes

• 120 minutes

• 40 minutes

Find the total cost of a $39 pizza delivery with a 15% tip.

• $44.85

• $5.85

• $54.00

• $33.15

A tennis racket at Sports City costs $180. You have a coupon for 15% off. What is the new cost of the racket?

• $27.00

• $153.00

• $207.00

• $165.00