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

In the equation y = ½x, what is the constant of proportionality?

Back

1/2

Front

If 5 ice cream bars cost $12.25, how do you find the cost of one ice cream bar?

Back

Divide the total cost by the number of ice cream bars: $12.25 ÷ 5 = $2.45.

Front

What is the unit rate?

Back

The unit rate is a comparison of any two separate but related quantities when they are combined into a single unit.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity to find the cost per unit.

Front

If a box of cereal costs $3.59 for 30 oz, how much does it cost per ounce?

Back

$3.59 ÷ 30 oz = 12 cents per ounce.

Front

What does a graph representing a constant of proportionality look like?

Back

A straight line that passes through the origin (0,0) with a slope equal to the constant of proportionality.

Front

If $500 is earned for every 8 hours worked, what is the constant of proportionality?

Back

The constant of proportionality is $500 ÷ 8 hours = $62.50 per hour.

Front

What is the relationship between proportionality and linear equations?

Back

Proportional relationships can be represented by linear equations of the form y = kx, where k is the constant of proportionality.

Front

How can you identify the constant of proportionality from a table of values?

Back

By finding the ratio of y to x for any pair of values; if the ratio is constant, that value is the constant of proportionality.