Assessment 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 is constant. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

How do you determine the constant of proportionality?

Back

The constant of proportionality can be found by dividing one quantity by the other in a proportional relationship. For example, if y varies directly with x, then the constant of proportionality k can be found using the formula k = y/x.

Front

If Heather earns $174 for 24 hours of work, how much does she earn per hour?

Back

To find the hourly wage, divide the total pay by the number of hours: $174 / 24 hours = $7.25 per hour.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant. This often includes an additional constant term, such as in the equation y = mx + b, where b is not zero.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin (0,0). If the line does not pass through the origin, the relationship is non-proportional.

Front

What is the formula to find the total pay for a given number of hours worked in a proportional relationship?

Back

The formula is Total Pay = Hourly Rate × Number of Hours Worked.

Front

If a dishwasher uses 65 gallons of water for 5 loads, how do you find the water used per load?

Back

To find the water used per load, divide the total gallons by the number of loads: 65 gallons / 5 loads = 13 gallons per load.

Front

What is the equation for the relationship between loads of dishes and gallons of water used in the dishwasher example?

Back

The equation is y = 13x, where y is the total gallons of water used and x is the number of loads.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the relationship can be represented by a straight line on a graph, indicating a constant rate of change.