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

How do you find the unit rate in a proportional relationship?

Back

To find the unit rate, divide the total amount of one quantity by the total amount of the other quantity.

Front

If 12 worksheets require 48 mL of ink, how much ink does each worksheet use?

Back

Each worksheet uses 4 mL of ink (48 mL ÷ 12 worksheets = 4 mL per worksheet).

Front

How much would it cost to rent horses for 3 hours at $17.95 per hour?

Back

It would cost $53.85 (3 hours × $17.95/hour = $53.85).

Front

What is the missing value if Abigail works for 36 hours and earns $36?

Back

The missing value is $36, indicating she earns $1 per hour.

Front

If a jet flies 430 miles in 1 hour, what is the distance it flies in 5 hours?

Back

The jet flies 2150 miles in 5 hours (430 miles/hour × 5 hours = 2150 miles).

Front

What is the formula for finding a proportional relationship?

Back

The formula is y = kx, where k is the constant of proportionality.

Front

If 20 cups of flour require 16 tablespoons of honey, how much honey is needed for 10 cups of flour?

Back

10 cups of flour would require 8 tablespoons of honey (16 tbsp ÷ 2 = 8 tbsp).

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

How do you determine if a relationship is proportional from a table of values?

Back

Check if the ratios of corresponding values are constant across the table.