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.

Front

How do you find the cost of one item when given the total cost and quantity?

Back

Divide the total cost by the number of items. For example, if a pizza costs $12 and has 8 slices, the cost per slice is $12 ÷ 8 = $1.50.

Front

What is the constant of proportionality?

Back

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

Front

Write the equation for a proportional relationship where y is 5 times x.

Back

y = 5x.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

Identify the constant of proportionality in the equation y = 9x.

Back

The constant of proportionality is 9.

Front

If y = 2x, what is the value of y when x = 4?

Back

y = 2(4) = 8.

Front

What type of line represents a proportional relationship on a graph?

Back

A straight line that passes through the origin (0,0).

Front

If the cost of 3 apples is $6, what is the cost of 1 apple?

Back

The cost of 1 apple is $6 ÷ 3 = $2.

Front

What is the relationship between x and y in the equation y = 3x?

Back

For every increase of 1 in x, y increases by 3.