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

Define ratio.

Back

A ratio is a comparison of two quantities by division, often expressed as 'a to b' or a:b.

Front

If a recipe requires 2 cups of sugar for every 3 cups of flour, what is the ratio of sugar to flour?

Back

The ratio of sugar to flour is 2:3.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, cross-multiply the known values and then solve for the unknown.

Front

What is the formula for calculating a batting average?

Back

Batting Average = (Number of Hits) / (Number of At Bats).

Front

If Mark has a batting average of .420 and went to bat 500 times, how many hits did he get?

Back

Mark got 210 hits (0.420 * 500 = 210).

Front

What is the relationship between the number of hits and strikeouts if a player strikes out 1 time for every 5 hits?

Back

For every 5 hits, there is 1 strikeout, creating a ratio of 5:1.

Front

If the ratio of water to lemon juice is 5:2, how many parts are there in total?

Back

There are 7 parts in total (5 parts water + 2 parts lemon juice).

Front

How do you set up a proportion to solve for an unknown?

Back

Set up the proportion as a fraction equation, such as a/b = c/d, where a, b, c, and d are known or unknown values.

Front

What is the total number of patients a dentist sees in a year if he sees one every 20 minutes and works 60 hours a week for 49 weeks?

Back

The dentist sees 8,820 patients in a year.