ACC Proportional Relationships Review

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?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the unit rate of 120 miles in 2 hours?

Back

The unit rate is 120 miles ÷ 2 hours = 60 miles per hour.

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratios of the corresponding values are constant.

Front

If y = 6.5x, what is the constant of proportionality?

Back

The constant of proportionality is 6.5.

Front

Is the relationship between the number of hours worked and the amount earned proportional if you earn $15 per hour?

Back

Yes, it is proportional because the amount earned is directly related to the number of hours worked.

Front

What is the formula for finding the constant of proportionality from a proportional relationship?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

How do you identify a proportional relationship from a set of data points?

Back

To identify a proportional relationship, check if the ratios of y to x are the same for all data points.