2-5 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 if two rates are proportional?

Back

Two rates are proportional if they can be expressed as equivalent fractions or if their ratios remain constant.

Front

If Ann walks 3 miles in 1 hour and Bob walks 5 miles in 2 hours, who walks faster?

Back

Ann walks faster. (Ann's rate: 3 miles/hour, Bob's rate: 2.5 miles/hour)

Front

What is the formula to find the unit rate?

Back

Unit Rate = Total Quantity / Total Time.

Front

If Jeff earns $90 for 4 hours of tutoring, what is his hourly rate?

Back

Jeff's hourly rate is $22.50 per hour.

Front

How can you compare two different rates?

Back

Convert both rates to the same unit (e.g., per hour) and compare the resulting values.

Front

What does it mean if a graph shows a straight line through the origin?

Back

It indicates a proportional relationship between the two variables.

Front

If a factory produces 30 earbuds for $1,050, what is the cost per earbud?

Back

The cost per earbud is $35.

Front

What is the significance of the slope in a proportional relationship graph?

Back

The slope represents the constant rate of change between the two quantities.

Front

If Karen earns $120 for 5 hours of tutoring, what is her hourly rate?

Back

Karen's hourly rate is $24 per hour.