W17 - Comparing 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 which of two proportional relationships is greater?

Back

You can compare the ratios or the equations representing the relationships. The one with the larger constant of proportionality is greater.

Front

What does the equation y = kx represent in a proportional relationship?

Back

In this equation, y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

Front

If Jack runs 8 laps in 6 minutes, what is his rate of laps per minute?

Back

Jack's rate is 8 laps / 6 minutes = 1.33 laps per minute.

Front

If Eshan runs 6 laps in 4 minutes, what is his rate of laps per minute?

Back

Eshan's rate is 6 laps / 4 minutes = 1.5 laps per minute.

Front

How can you compare two rates of speed?

Back

You can compare the rates by calculating the unit rate for each and determining which is larger.

Front

What is the constant of proportionality in the equation y = 40x?

Back

The constant of proportionality is 40, meaning for every bag, the weight increases by 40 lbs.

Front

How do you interpret a graph showing a proportional relationship?

Back

The slope of the line represents the constant of proportionality, and the y-intercept should be zero.

Front

What does it mean if two equations have the same slope?

Back

If two equations have the same slope, they represent proportional relationships that increase at the same rate.

Front

How do you find the total amount served in a proportional relationship?

Back

Multiply the number of units (e.g., days) by the constant of proportionality (e.g., people served per day).