Proportional Functions Review

Front

What is a proportional function?

Back

A proportional function is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = mx, where m is the constant of proportionality.

Front

If 2 pounds of sugar makes 20 candies, how many candies can be made with 1 pound of sugar?

Back

10 candies.

Front

What does the slope (m) represent in a proportional relationship?

Back

The slope (m) represents the rate of change between the two quantities.

Front

How do you find the slope from a table of values?

Back

The slope can be found by taking the change in y divided by the change in x (m = Δy/Δx).

Front

If y = 4x, what is the cost of bowling 5 games?

Back

$20.

Front

What is the constant of proportionality in the equation y = 10x?

Back

The constant of proportionality is 10.

Front

How do you write an equation from a word problem involving proportional relationships?

Back

Identify the quantities involved, determine the constant of proportionality, and express the relationship in the form y = mx.

Front

What is the graph of a proportional function like?

Back

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

Front

If the slope of a line is 5/8, what does this mean in context?

Back

For every 8 units increase in x, y increases by 5 units.