Writing Equations for 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 quantity is constant.

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What is the constant of proportionality?

Back

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

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

If P = 8.9w, what does 8.9 represent?

Back

In the equation P = 8.9w, 8.9 represents the constant of proportionality, indicating that for every week (w), 8.9 pounds (P) of food is collected.

Front

What does the equation y = 75x represent?

Back

The equation y = 75x represents a proportional relationship where y is directly proportional to x with a constant of proportionality of 75.

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How can you find the price per gallon if you know the total cost and total gallons?

Back

To find the price per gallon, divide the total cost by the total gallons. For example, $15.00 for 6 gallons means $15.00 ÷ 6 = $2.50 per gallon.

Front

What is the equation that represents the relationship between good apples (s) and gathered apples (g) if 9 out of 10 apples are good?

Back

The equation is s = 0.9g, meaning for every 10 apples gathered, 9 are good to sell.

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What does it mean if an equation is described as proportional?

Back

An equation is described as proportional if it can be expressed in the form y = kx, indicating a constant ratio between y and x.

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How do you determine if a relationship is proportional from a table of values?

Back

To determine if a relationship is proportional from a table, check if the ratios of corresponding values are constant.

Front

What is the formula to find the constant of proportionality from a proportional relationship?

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.