Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two variables in a proportional relationship, often represented as y = kx.

Front

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

Back

Divide the value of y by the value of x for any pair of corresponding values in the table.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does the point (3, 9) represent in a proportional relationship?

Back

It represents that when x is 3, y is 9, indicating a ratio of 3:9 or 1:3.

Front

How can you express a proportional relationship in an equation?

Back

A proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

If Ben earns $10.25 per hour, how much will he earn in 5 hours?

Back

He will earn $51.25 (10.25 * 5).

Front

What is the relationship between the variables in a proportional relationship?

Back

In a proportional relationship, as one variable increases, the other variable increases at a constant rate.

Front

If y = 14x, what happens to y if x is doubled?

Back

If x is doubled, y will also double, since they are proportional.

Front

What is the formula to calculate the constant of proportionality from a word problem?

Back

The formula is k = y/x, where y is the output and x is the input.