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 which item is more expensive to produce in a proportional relationship?

Back

Compare the cost per item produced for each item. The item with the higher cost per item is more expensive to produce.

Front

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

Back

The cost per pair of earbuds is $1,050 ÷ 30 = $35.

Front

What is the formula to find the unit rate in a proportional relationship?

Back

The unit rate can be found using the formula: Unit Rate = Total Cost ÷ Number of Items.

Front

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

Back

Jeff's hourly rate is $90 ÷ 4 = $22.50 per hour.

Front

How can you compare two different hourly rates?

Back

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

Front

What does a graph of earnings over time represent in a proportional relationship?

Back

The slope of the graph represents the rate of earnings per hour.

Front

If Ann walks her dog at a rate of 3 miles in 1 hour, what is her speed in miles per hour?

Back

Ann's speed is 3 miles per hour.

Front

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

Back

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

Front

How do you find the total cost of producing multiple items in a proportional relationship?

Back

Multiply the cost per item by the number of items produced.