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 5 rows of flowers have 8 flowers each, how do you find the total number of flowers?

Back

Multiply the number of rows (5) by the number of flowers in each row (8): 5 x 8 = 40.

Front

How do you calculate the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if Johnny read 280 pages in 4 hours, the unit rate is 280 ÷ 4 = 70 pages per hour.

Front

What is the formula to find the total amount in a proportional relationship?

Back

Total Amount = (Number of Units) x (Value per Unit).

Front

If 16 hot dogs are sold each minute, how do you find the total sold in 30 minutes?

Back

Multiply the number of hot dogs sold per minute (16) by the number of minutes (30): 16 x 30 = 480.

Front

In a ratio of pencils to erasers of 4:3, how do you find the number of erasers if there are 24 pencils?

Back

Set up a proportion: 4/3 = 24/x. Cross-multiply and solve for x to find the number of erasers.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Front

How do you find the cost of multiple items if you know the cost of one item?

Back

Multiply the cost of one item by the number of items. For example, if 3 cookies cost $2.00, then 15 cookies cost (15/3) x $2.00 = $10.

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.