Interpreting Graphs of Proportional Relationships Check

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 identify a proportional relationship on a graph?

Back

A proportional relationship on a graph is identified by a straight line that passes through the origin (0,0).

Front

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

Back

The slope represents the constant of proportionality, which is the ratio of the change in the y-value to the change in the x-value.

Front

If a graph shows the relationship between time and distance, what does a point (x, y) represent?

Back

The point (x, y) represents the distance traveled (y) after a certain amount of time (x).

Front

What does the point (3, 12) mean in the context of filling a pool?

Back

It means that after 3 hours, there are 12 gallons of water in the pool.

Front

How can you find the unit rate from a proportional relationship?

Back

The unit rate can be found by dividing the y-value by the x-value at any point on the line.

Front

What is the unit rate if it takes 6 minutes to bike 1 mile?

Back

The unit rate is 1 mile per 6 minutes.

Front

What does the point (6, $3.60) represent in a cost graph?

Back

It represents that the cost of 6 pounds is $3.60.

Front

How do you calculate the total distance traveled if you know the time and the unit rate?

Back

Total distance = unit rate × time.

Front

What is the significance of the origin (0,0) in a proportional relationship graph?

Back

The origin represents the starting point where both quantities are zero.