Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

If 16 hot dogs are sold each minute, how many hot dogs are sold in 30 minutes?

Back

480 hot dogs.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 96 kayaks are rented in 8 hours, the unit rate is 96 ÷ 8 = 12 kayaks per hour.

Front

In a proportional relationship, if there are 3 boys for every 5 girls, how do you find the number of boys if there are 70 girls?

Back

Set up a ratio: 3 boys/5 girls = x boys/70 girls. Cross-multiply and solve for x to find that there are 42 boys.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

If a bag of trail mix has 2 M&Ms for every 10 raisins, how many raisins are in a bag with 18 M&Ms?

Back

90 raisins.

Front

What is the formula for finding the total amount in a proportional relationship?

Back

Total Amount = Unit Rate × Number of Units.

Front

If Samantha earned $90 for working 6 hours, what is her hourly rate?

Back

$15 per hour.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

How can you express a proportional relationship using an equation?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.