Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

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 y = 6x, what is the constant of proportionality?

Back

The constant of proportionality (k) is 6.

Front

What is the unit rate of $3.59 for 30 oz of cereal?

Back

The unit rate is approximately 12 cents per ounce.

Front

What does it mean if a graph does not show a proportional relationship?

Back

If a graph does not show a proportional relationship, it means that the relationship between the two quantities is not constant and does not form a straight line through the origin.

Front

How can you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities is constant and can be expressed in the form y = kx.

Front

What is the unit rate of 30 words per minute?

Back

The unit rate is the number of words (30) divided by the time in minutes (1), which equals 30 words per minute.

Front

What is the equation for a proportional relationship if the constant of proportionality is 12?

Back

The equation is y = 12x.

Front

If you have a proportional relationship, what happens to y if x is doubled?

Back

If x is doubled, y will also double, maintaining the constant ratio.