Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined as k = y/x.

Front

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

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

If the cost of a cab ride is $2.50 per mile, what is the cost for 6 miles?

Back

The cost for 6 miles is $15.00 (calculated as 6 miles * $2.50/mile).

Front

Write an equation for a proportional relationship where k=4.

Back

The equation is y = 4x.

Front

What is the equation for a proportional relationship if the constant of proportionality is 3?

Back

The equation is y = 3x.

Front

How can you tell if a table represents a proportional relationship?

Back

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

Front

What is the value of k if y = 12 when x = 3?

Back

The value of k is 4 (calculated as k = y/x = 12/3).

Front

If a graph does not pass through the origin, does it represent a proportional relationship?

Back

No, if a graph does not pass through the origin, it does not represent a proportional relationship.

Front

What is the formula to calculate the constant of proportionality?

Back

The formula is k = y/x.