Proportions

Front

What is a proportion?

Back

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

Front

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

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

What is the cross-multiplication method in solving proportions?

Back

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

Front

If 13 out of 20 homes have a personal computer, how do you find the expected number of homes with a computer on a street of 60 homes?

Back

Set up the proportion 13/20 = x/60 and solve for x using cross-multiplication.

Front

How do you determine the time it takes to produce a certain number of items based on a given rate?

Back

Use the formula: time = total items / (items produced per time period).

Front

What is the relationship between the size of a container and the duration it lasts for a product?

Back

The duration a product lasts is directly proportional to the size of the container, assuming the usage rate remains constant.

Front

How do you calculate the cost of purchasing multiple items based on a unit price?

Back

Multiply the unit price by the total number of units purchased.

Front

What is the ratio of sunfish to perch in the fishing pond problem?

Back

The ratio of sunfish to perch is 4:3.

Front

How do you find the number of perch if you know the number of sunfish stocked?

Back

Use the ratio 4 sunfish to 3 perch. If 300 sunfish are stocked, set up the proportion 4/3 = 300/x and solve for x.

Front

What is a unit rate and how is it used in proportions?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is used to simplify ratios to a single unit.