Unit 2.2 - Ratios and Rates

Anna is mixing blue and yellow paint colors to produce a green paint mixture. The diagram represents the mixture of green Anna created by mixing blue and yellow paint.

Which statement is true?

Anna is mixing blue and yellow paint colors to produce a green paint mixture. The diagram represents the mixture of green Anna created by mixing blue and yellow paint.

Which statement is true?

• There are 6 cups of yellow paint used for every 18 cups of green paint that is mixed.

• There are 9 cups of yellow paint used for every 18 cups of green paint that is mixed.

• There are 3 cups of yellow paint used for every 18 cups of green paint that is mixed.

• There are 12 cups of yellow paint used for every 18 cups of green paint that is mixed.

The ratio of art students to drama students in the school is 7:5.

Which statement correctly interprets this ratio?

• There are 7 more art students than drama students.

• For every 7 art students, there are 5 drama students.

• There are 5 art students for every 7 drama students.

• For every 7 drama students, there are 5 art students.

A smoothie contained 2 cups of strawberries, 3 cups of bananas, and 5 cups of raspberries.

Select the statements that are true.

• The ratio of raspberries to bananas is 3 to 5.

• The ratio of the entire smoothie to the berries is 8 to 10.

• The ratio of bananas to strawberries is 3:2.

• The ratio of the entire smoothie to the bananas is 10 to 3.

Miguel worked an 8-hour day and earned $64.00. The double number line represents the amount he earned for working different numbers of hours.

 How much money Miguel earn in 1 hour?

• Miguel earns $8.00 in 1 hour.

• Miguel earns $16.00 in 1 hour.

• Miguel earns $12.00 in 1 hour.

• Miguel earns $6.00 in 1 hour.

Tina hikes 30 kilometers in 4 days on the Minnesota Trail.

Find the unit rate and select the answer that correctly represents what it means in context.

• For each kilometer, Tina has been hiking 7.5 days.

• Tina hikes 0.13 kilometers per day.

• For each day, Tina hikes 7.5 kilometers.

• For each day, Tina hikes 0.13 kilometers.

At a video game store, a controller costs $60. Using a coupon, Fiona is able to pay $15 less than the original price. Determine the percentage off the original price the coupon represents.

• The coupon gives Fiona 10% off of the original price.

• The coupon gives Fiona 25% off of the original price.

• The coupon gives Fiona 30% off of the original price.

• The coupon gives Fiona 15% off of the original price.

30% of 150 is what value?

• 65

• 50

• 30

• 45

Use the conversion rates to find the value.

468 centimeters = _______

• 4.68 meters

• 0.468 meters

• 46.8 meters

• 46,800 meters

Use the conversion rates to find the value.

10 gallons = _______

• 80 pints

• 40 pints

• 16 pints

• 28 pints