A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. It’s typically used to simplify a ratio so that one of the quantities equals one.

For example, if you drive 300 miles using 10 gallons of gas, the unit rate of miles per gallon (mpg) would be calculated as follows:

$\text{Unit Rate} = \frac{\text{Total Miles}}{\text{Total Gallons}} = \frac{300 \text{ miles}}{10 \text{ gallons}} = 30 \text{ miles per gallon}$

Applications of Unit Rates

1. Speed: Miles per hour (mph).
2. Cost: Price per item or per weight (e.g., dollars per pound).
3. Density: People per square mile.

Would you like more details on a specific aspect of unit rates, or do you have a particular example you'd like to explore?

Related Questions

1. How do you calculate unit rates in different contexts?
2. What are some common applications of unit rates in daily life?
3. How do unit rates relate to ratios and proportions?
4. Can unit rates be applied in recipes or cooking?
5. How do you convert unit rates between different measurement systems (e.g., metric to imperial)?

Tip: Always ensure both quantities are in the same units before calculating a unit rate for accuracy.