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 find the slope of a line in a graph?

Back

The slope is found by dividing the change in the y-values by the change in the x-values (rise over run).

Front

If Sia saves $25 per month, how much will she save in 4 months?

Back

$100

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change or the speed at which one quantity changes in relation to another.

Front

How can you compare two proportional relationships?

Back

You can compare them by looking at their slopes or rates of change.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1.

Front

If Miguel saves $10 per month, how much will he save in 3 months?

Back

$30

Front

What does it mean if two companies have the same slope in a graph?

Back

It means they are producing or charging at the same rate.

Front

How do you determine which company has the lowest price per hour?

Back

You compare the rates (cost per hour) of each company.

Front

What is the formula for calculating the total savings over time?

Back

Total Savings = Monthly Savings x Number of Months.