Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be expressed as a/b = c/d, where a, b, c, and d are numbers.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other. For example, if a/b = c/d, then a*d = b*c.

Front

What is the unit rate?

Back

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

Front

How can you find the total cost when given a unit price?

Back

To find the total cost, multiply the unit price by the number of units purchased. For example, if the unit price is $6 and 10 units are purchased, the total cost is $6 * 10 = $60.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal. Proportions can be used to solve for unknown values in ratios.

Front

How do you set up a proportion to solve a word problem?

Back

Identify the quantities involved in the problem, express them as ratios, and set them equal to each other to form a proportion.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio and vice versa, then setting the two products equal.

Front

How do you determine the scale factor in a proportional relationship?

Back

The scale factor is determined by dividing one quantity by the corresponding quantity in the other ratio. For example, if the ratio is 3:5, the scale factor is 3/5.

Front

What is an example of a real-world application of proportions?

Back

A real-world application of proportions is cooking, where ingredients need to be scaled up or down based on the number of servings.

Front

How can proportions be used in financial calculations?

Back

Proportions can be used to calculate discounts, markups, and other financial ratios, helping to determine final prices or costs.