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 1 meter is approximately 1.09 yards, how do you convert meters to yards?

Back

To convert meters to yards, multiply the number of meters by 1.09.

Front

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

Back

The formula is y = kx, where y is the total amount, k is the constant of proportionality, and x is the quantity.

Front

How do you determine the constant of proportionality from a table?

Back

Divide the output value by the input value for any pair of corresponding values in the table.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant of proportionality between the two variables.

Front

If a graph shows a straight line through the origin, what does it indicate?

Back

It indicates a proportional relationship between the two variables.

Front

How can you find the missing value in a proportional relationship?

Back

Set up a proportion and cross-multiply to find the missing value.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are a specific type of proportional relationship where the second quantity is one unit.

Front

If Nico earns $7.25 per hour, how much will he earn for 24 hours?

Back

Nico will earn $174 (7.25 * 24 = 174).

Front

How do you solve for x in the equation y = 10x when y = 50?

Back

Divide both sides by 10: x = 50 / 10 = 5.