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 identify the constant of proportionality (k)?

Back

The constant of proportionality (k) can be found by dividing one quantity (y) by the other quantity (x), expressed as k = y/x.

Front

What does the point (2, 94) represent in a savings context?

Back

The point (2, 94) represents that after 2 weeks, a person has saved $94.

Front

How do you calculate the unit rate?

Back

The unit rate is calculated by dividing the total amount by the number of units, giving the amount per one unit.

Front

If Alexis used 2.5 cups of oreo bits for 10 servings, how much oreo is in one serving?

Back

To find the amount of oreo bits per serving, divide 2.5 cups by 10 servings, which equals 0.25 cups per serving.

Front

How much more oreo is in one serving of Alexis' dish compared to Kaden's dish?

Back

Alexis' dish has 0.25 cups per serving, and Kaden's dish has 0.20 cups per serving. The difference is 0.05 cups.

Front

What is the unit rate of 624 calories in 3 servings?

Back

The unit rate is 208 calories per serving, calculated by dividing 624 calories by 3 servings.

Front

What is the equation relating weight (w) to price (p) if the constant of proportionality is 0.45?

Back

The equation is p = 0.45w.

Front

What is the significance of the constant of proportionality in a proportional relationship?

Back

The constant of proportionality indicates how much one quantity changes in relation to another quantity.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.