Ratios and Rates Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship, meaning they can be simplified to the same fraction.

Front

How do you find the constant of proportionality?

Back

The constant of proportionality is found by dividing one quantity by the other in a proportional relationship.

Front

If a table shows values (2, 6) and (3, 9), are these values proportional?

Back

Yes, because the ratio 2:6 simplifies to 1:3, and 3:9 also simplifies to 1:3.

Front

How do you determine which item is a better deal when comparing prices?

Back

Calculate the unit price (price per ounce) for each item and compare them. The lower unit price indicates the better deal.

Front

What is the unit price of a 12-ounce box of Cheez-Its for $4.80?

Back

The unit price is $4.80 ÷ 12 = $0.40 per ounce.

Front

What is the unit price of a 15-ounce box of Cheez-Its for $6.20?

Back

The unit price is $6.20 ÷ 15 = $0.4133 per ounce.

Front

If Karl Anthony-Towns made 4 out of 5 shots, what is his shooting percentage?

Back

His shooting percentage is (4/5) × 100 = 80%.

Front

Back

Yes, they are proportional because both simplify to the same value.