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 is constant.

Front

How do you find the constant of proportionality (k)?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Front

In the equation y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

If Perry earned $96 for shoveling 8 driveways, how much would he earn for 1 driveway?

Back

$12 (96 ÷ 8 = 12).

Front

If y = 14x, what is the value of y when x = 2?

Back

y = 28 (14 × 2 = 28).

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not a proportional relationship.

Front

What is the formula for finding the total amount earned in a proportional relationship?

Back

Total Amount = Rate × Quantity.

Front

If y = 3x, what is the constant of proportionality?

Back

3.