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 taking the change in the y-values divided by the change in the x-values (rise over run).

Front

What does a slope of $12 per hour mean in a rental context?

Back

It means that for every hour a canoe is rented, the cost increases by $12.

Front

How can you compare prices from two different stores?

Back

You can compare prices by calculating the price per unit (e.g., per hour, per item) and determining which is lower.

Front

What is the formula for calculating unit price?

Back

Unit Price = Total Price / Number of Units.

Front

If Pizzeria W makes $240 for 10 pizzas, what is the price per pizza?

Back

The price per pizza is $24.

Front

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

Back

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

Front

How do you determine which company has a better price?

Back

You compare the unit prices of each company; the lower unit price indicates a better deal.

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes at a steady rate over time.

Front

If Soundtech produces 200 headphones in 1 hour and NewSounds produces 175 headphones in the same time, who produces faster?

Back

Soundtech produces faster because 200 > 175.