Constant of Proportionality Review

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 unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 18 orders in 3 days, the unit rate is 18 ÷ 3 = 6 orders per day.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is of the form y = kx, where k is the constant of proportionality.

Front

If Cheddar Cheese costs $4.25 per pound, what is the equation for the total cost of x pounds?

Back

The equation is y = 4.25x, where y is the total cost and x is the number of pounds.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

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

Back

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

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If the constant of proportionality is 40, what is the equation of the line?

Back

The equation of the line is y = 40x.

Front

What is the significance of the constant of proportionality in real-life situations?

Back

The constant of proportionality helps to understand how two quantities are related, such as speed, cost per item, or density.

Front

How can you identify the constant of proportionality from a graph?

Back

The constant of proportionality can be identified as the slope of the line in a graph of a proportional relationship.