7.4A Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

If a machine can complete a task in a certain time, how do you find the time for a different number of tasks?

Back

Use the formula: Time = (Number of tasks) / (Rate of tasks per time unit).

Front

What is the formula to find the total number of items in a larger package based on a smaller package?

Back

Total items = (Number of items in smaller package) * (Size of larger package / Size of smaller package).

Front

If 48 tests can be graded in 1 minute, how many tests can be graded in 6.25 minutes?

Back

48 tests/minute * 6.25 minutes = 300 tests.

Front

How do you find the number of pieces in a larger package if you know the number of pieces in a smaller package?

Back

Set up a proportion based on the sizes of the packages and solve for the unknown.

Front

What does it mean to cross-multiply in a proportion?

Back

Cross-multiplying means multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If Madeline ran 21.7 miles in 7 hours, how do you find her speed in miles per hour?

Back

Speed = Total distance / Total time = 21.7 miles / 7 hours = 3.1 miles per hour.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.