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 amount by the number of units. For example, if 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

What does the ordered pair (1, 15) represent in terms of unit rate?

Back

The ordered pair (1, 15) represents that for every 1 unit (pizza), there are 15 total units (cost in dollars), indicating the unit rate.

Front

If the total cost for 15 pizzas is $97.50, what is the unit cost per pizza?

Back

$6.50 per pizza.

Front

What is the relationship between the constant of proportionality and the unit price?

Back

The constant of proportionality is the same as the unit price, as both represent the cost per single unit.

Front

How can you determine the missing value in a proportional table?

Back

To determine the missing value, use the constant of proportionality to set up a proportion and solve for the unknown.

Front

What is the constant of proportionality for the graph if the y-value is 40 when the x-value is 1?

Back

40.

Front

What does it mean if a graph shows a straight line through the origin?

Back

It indicates a constant rate of change, meaning the relationship between the two variables is proportional.

Front

If the constant of proportionality is 20, what is the total cost for 5 units?

Back

The total cost would be 20 × 5 = $100.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.