Proportional Relationships: Equivalent Ratios

A salad dressing calls for 1 parts vinegar and 3 part oil. Manuela uses 2 tablespoons of vinegar and 6 tablespoons of oil to make her salad dressing. Is this a proportional relationship or not?

• Yes

• No

A specific shade of orange paint calls for 2 parts yellow and 3 parts red. Catie uses 3 cups of yellow paint and 4 cups of red paint. Is this a proportional relationship?

• Yes. They both go up by 1, so it is proportional

• Yes. 2:3 and 3:4 are equivalent ratios

• No. The numbers are different, so they are not proportional

• No. 2:3 and 3:4 are NOT equivalent ratios

A saltwater solution for an aquarium calls for 35 parts salt to 1000 parts water. Tareq used 7 tablespoons of salt and 200 tablespoons of water. Is this a proportional relationship?

• Yes

• No

If you have two ratios, how do you know they are proportional?

• If both quantities in the ratio go up by the same number

• If they are equivalent ratios

• If both quantities have the same difference between them

How can you use a unit rate to determine if a relationship is proportional?

• If two ratios have the same unit rate, then they are proportional

• If two ratios have different unit rates, they are proportional

• Unit rates are the same thing as proportions

• You can't

A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves 16 feet in 4 seconds. Is this a proportional relationship? AND if it is, then what is the shared unit rate?

• Yes; 4 feet in 1 second

• No

• Yes; 2 feet in 1 second

• Yes; 8 feet in 2 seconds

Select all that apply: One blend of garden soil is 1 part minerals, 1 part peat moss, and 2 parts compost. Select all of the mixtures below that are in a proportional relationship with this blend.

• 5 cubic feet of minerals, 5 cubic feet of peat moss, and 10 cubic feet of moss

• 10 cubic feet of minerals, 10 cubic feet of peat moss, and 15 cubic feet of moss

• 12 cubic feet of minerals, 12 cubic feet of peat moss, and 24 cubic feet of moss

• 20 cubic feet of minerals, 20 cubic feet of peat moss, and 40 cubic feet of moss

• 50 cubic feet of minerals, 50 cubic feet of peat moss, and 50 cubic feet of moss

A car traveled 300 miles in 5 hours. What is the unit rate per 1 hour, and how do you calculate?

• 60 miles in 1 hour; Divide

• 60 miles in 1 hour; Multiply

• 5/300 miles in 1 hour; Divide

• 1500 miles in 1 hour; mulitply

If you divide to find a unit rate, then what is the unit rate for the following scenario with fractions? (Hint: Use KCF)

Mr. Akkaya jogged 2 miles in 2/5 of an hour. How many miles did he jog in one hour?

• 2 2/5 miles in one hour

• 5 miles in one hour

• 4/5 miles in one hour

• 1/5 mile in one hour

A tectonic plate in Earth's crust moves at a constant rate of 12 centimetres in 3 years. In a different part of the world, another tectonic plate moves at a constant rate of 30 centimetres in 10 years.

What are the two unit rates? AND is it a proportional relationship?

• Both unit rates are 4 cm per year; Proportional

• Both unit rates are 3 cm per year; Proportional

• The first is 6 cm per year, the second is 3 cm per year; Nor Proportional

• The first is 4cm per year, the second is 3 cm per year; Not Proportional