Tables, Graphs, & Equations of 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 can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the values in the table are equivalent.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, because the ratio of y to x is always 2.

Front

What is the formula to find the unit rate?

Back

The unit rate is found by dividing the total quantity by the number of units, expressed as total quantity/unit.

Front

If Dr. Morrison drove 340 miles in 5 hours, what was his rate in miles per hour?

Back

His rate was 68 miles per hour (340 miles ÷ 5 hours).

Front

If Dr. Morrison drove 198 miles in 3 hours, what was his rate in miles per hour?

Back

His rate was 66 miles per hour (198 miles ÷ 3 hours).

Front

What does a graph with a constant slope represent?

Back

A graph with a constant slope represents a proportional relationship.

Front

In a graph, if the y-value increases by 2 for every increase of 1 in the x-value, what is the rate of change?

Back

The rate of change is 2.

Front

How do you find the total amount needed for a recipe if the recipe is scaled up?

Back

Multiply the amount of each ingredient by the scaling factor.

Front

If a recipe calls for 2 tablespoons of honey for 10 cups of flour, how much honey is needed for 20 cups of flour?

Back

You need 4 tablespoons of honey (2 tablespoons x 2).