Compare 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 determine the unit rate from a proportional relationship?

Back

The unit rate is found by dividing the quantity of one variable by the quantity of the other variable when the second variable is equal to 1.

Front

If Lorenzo pays $9.00 for 4 ice cream cones, what is the unit rate per cone?

Back

The unit rate is $2.25 per ice cream cone.

Front

What does a slope represent in a graph of a proportional relationship?

Back

The slope represents the rate of change between the two quantities in the relationship.

Front

How can you compare two different rates, such as Karen's and Ben's posting rates?

Back

You can compare the rates by calculating the number of posts per day for each person and comparing those values.

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (change in y) / (change in x).

Front

If Phil ran 20 laps in 30 minutes, what is his pace in minutes per lap?

Back

His pace is 1.5 minutes per lap.

Front

How do you interpret the y-intercept in a graph of a proportional relationship?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

What is the significance of a graph having a constant slope?

Back

A constant slope indicates a proportional relationship between the two variables.

Front

If donuts cost $0.75 each, how much do 12 donuts cost?

Back

12 donuts cost $9.00.