Proportional Relationships -- Tables, Equations, and Graphs

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 constant of proportionality (k)?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

Write the equation for a proportional relationship where y is directly proportional to x.

Back

The equation is y = kx, where k is the constant of proportionality.

Front

If y = 2x, what is the value of k?

Back

k = 2.

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If a recipe requires 2 cups of sugar for every 3 cups of flour, what is the equation representing this relationship?

Back

Front

In a proportional relationship, if x doubles, what happens to y?

Back

If x doubles, y also doubles.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality (k) and represents the amount of y for one unit of x.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

It will travel 180 miles, since the relationship is proportional (60 miles/hour * 3 hours = 180 miles).

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of y to x are constant for all pairs of values.