Representing and 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 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 corresponding values are equal.

Front

If Maria makes $15 an hour for babysitting, how much money would she make for 5 hours?

Back

$75

Front

What is the constant of proportionality in the equation y = 6x?

Back

The constant of proportionality is 6.

Front

What does a steeper line in a graph indicate about the constant of proportionality?

Back

A steeper line indicates a larger constant of proportionality.

Front

Which of the following equations is proportional: y = 3x + 2 or y = 6x?

Back

y = 6x is proportional.

Front

What is the cost for 4 pounds of bananas if the cost is 25 cents per pound?

Back

100 cents.

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by determining the slope of the line on the graph.

Front

What is the formula for finding the slope of a line?

Back

Slope (m) = (change in y) / (change in x).

Front

If a line passes through the origin, what does that indicate about the relationship?

Back

It indicates that the relationship is proportional.