Rates, unit rates and proportions

Front

What is a rate?

Back

A rate is a ratio that compares two quantities with different units, such as miles per hour or price per item.

Front

Define unit rate.

Back

A unit rate is a rate in which the second quantity is one unit, such as 50 miles per hour or $3 per item.

Front

How do you calculate a unit rate from a given rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

Front

What is the formula for solving proportions?

Back

The formula for solving proportions is cross-multiplication: if a/b = c/d, then ad = bc.

Front

If you travel 240 miles on 6 gallons of gas, what is your unit rate in miles per gallon?

Back

Your unit rate is 40 miles per gallon.

Front

When comparing prices, why is it important to calculate unit rates?

Back

Calculating unit rates allows you to determine which option offers the best value for your money.

Front

What is the unit rate for 150 miles on 5 gallons of gas?

Back

The unit rate is 30 miles per gallon.

Front

How can you determine which product is a better buy when given two options?

Back

Calculate the unit price for each option and compare them; the lower unit price indicates the better buy.

Front

What is the unit rate of 50 miles per hour?

Back

50 miles per hour is an example of a unit rate, indicating the distance traveled in one hour.

Front

What does it mean if two ratios are proportional?

Back

Two ratios are proportional if they express the same relationship between quantities, meaning they can be set equal to each other.