Proportionality Review

Front

What is proportionality?

Back

Proportionality refers to the relationship between two quantities where their ratio remains constant. If one quantity increases, the other increases at a consistent rate.

Front

Define the constant of proportionality.

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as 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

If 6 grams of fruit snacks contain 45 pieces, how many pieces are in 10 grams?

Back

To find the number of pieces in 10 grams, set up a proportion: 6g/45 pieces = 10g/x pieces. Cross-multiply and solve to find x = 75 pieces.

Front

What is the formula for finding the constant of proportionality from an equation?

Back

In the equation y = kx, the constant of proportionality (k) is the coefficient of x.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

What does a graph of proportionality look like?

Back

A graph of proportionality is a straight line that passes through the origin (0,0), indicating a constant ratio between the x and y values.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing different pairs of values.

Front

What is the relationship between proportionality and scaling?

Back

Proportionality involves scaling one quantity to determine the corresponding value of another quantity while maintaining the same ratio.

Front

If the constant of proportionality is 40, what is the value of y when x = 2?

Back

Using the formula y = kx, where k = 40, y = 40 * 2 = 80.