Ratios/Rates/Proportions

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 different units, such as miles per hour or cost per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1, allowing for easy comparison of different rates.

Front

How do you calculate the cost per pound?

Back

To find the cost per pound, divide the total cost by the total weight in pounds.

Front

If a car travels 330 miles in 5 hours, how do you find the speed?

Back

To find the speed, divide the total distance by the total time: Speed = Distance / Time.

Front

What is the formula for finding the unit rate of customers per hour?

Back

Unit Rate = Total Customers / Total Hours.

Front

How do you determine how many customers can be served in a given time?

Back

First, find the rate of customers served per minute or hour, then multiply that rate by the total time available.

Front

If Ernie travels 195 miles in 3 hours, how do you find the distance he will travel in 5 hours?

Back

First, find the speed (miles per hour) by dividing the distance by time, then multiply that speed by 5 hours.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, showing a relationship between two sets of quantities.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common factor.