Comparing Proportional Relationships (P.3)

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 who spends more per day in a proportional relationship?

Back

You compare the total amount spent over a period of time divided by the number of days.

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 Restaurant T serves 82 people per day, how can you compare it to another restaurant's service?

Back

You can compare the number of people served by calculating the total over the same number of days.

Front

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

Back

It means that both relationships are proportional and they change at the same rate.

Front

How can you tell which company produces more items per hour from a graph?

Back

You look at the slope of the line; a steeper slope indicates a higher production rate.

Front

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

Back

The constant of proportionality is 40, meaning for every unit increase in x, y increases by 40.

Front

How do you compare rates of change between two different scenarios?

Back

You calculate the rate of change for each scenario and compare the values.

Front

What does it mean if two quantities are said to have the same rate of change?

Back

It means that for every unit increase in one quantity, the other quantity increases by the same amount.

Front

How can you find out who types more words per minute?

Back

You compare the number of words typed in a given time frame for each person.