Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

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

Back

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

Front

If a box of cereal costs $3.59 for 30 oz, what is the unit rate per ounce?

Back

The unit rate per ounce is 12 cents.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

Express the ratio of 12 baskets in 18 attempts in simplest form.

Back

The simplest form of the ratio is 2:3.

Front

What is the formula to calculate the constant of proportionality?

Back

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

Front

If the constant of proportionality is 3, what does this imply about the relationship between x and y?

Back

It implies that for every unit increase in x, y increases by 3 units.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically as a straight line that passes through the origin.

Front

What is the unit rate?

Back

The unit rate is the ratio of a quantity to one unit of another quantity, often used to compare prices or speeds.

Front

If a car travels at a constant speed of 45 mph, what is the constant of proportionality in this context?

Back

The constant of proportionality is 45 mph, representing the speed of the car.