Graph Proportional Relationships 8.4B (STAAR Release)

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-coordinate by the change in the x-coordinate (rise/run).

Front

What does the slope represent in a graph of a proportional relationship?

Back

The slope represents the unit rate or the constant of proportionality between the two quantities.

Front

If 6 pencils cost 30 cents, what is the cost of one pencil?

Back

The cost of one pencil is 5 cents (30 cents ÷ 6 pencils).

Front

How do you calculate the average rate of change?

Back

The average rate of change is calculated by dividing the total change in the dependent variable by the total change in the independent variable.

Front

What is the unit rate in the context of a printing store using 24 oz of ink in 18 minutes?

Back

The unit rate is 1.33 oz of ink per minute (24 oz ÷ 18 minutes).

Front

What is the ratio of adults to students if there are 3 adults for every 45 students?

Back

The ratio is 1 adult for every 15 students (3 adults ÷ 45 students).

Front

If a worker paints 4 cabinets in 8 hours, what is the rate of cabinets painted per hour?

Back

The rate is 0.5 cabinets per hour (4 cabinets ÷ 8 hours).

Front

How do you interpret the slope of a graph representing distance traveled over time?

Back

The slope represents the speed or rate of travel (distance per unit of time).

Front

What is the slope if a student travels 68 miles in 136 minutes?

Back

The slope is 0.5 miles per minute (68 miles ÷ 136 minutes).