Solving Proportions and Unit Rate Review

What is a proportion?

• When two ratios can be simplified

• When two ratios are equivalent and show the same value

• When two ratios have the exact same numbers

• When two ratios can be multiplied by 2

Hamburger sells 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?

• $30

• $20

• $60

• $10

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

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

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

Is this table proportional or non-proportional?

• Proportional

• Non-Proportional

What is the constant of proportionality?

• 8

• 16

• 24

• 2

Write an equation for this situation.

• y=9.75x

• y=19x

• y=19.25x

• y=9.5x

Write an equation for this relationship.

• y=10.99x

• y=22.98x

• y=22x

• y=21.98x