Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or cost per item.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if 7 apples cost $4.55, the unit rate is $4.55 ÷ 7 = $0.65 per apple.

Front

If a person travels 195 miles in 3 hours, how do you find their speed in miles per hour?

Back

To find the speed in miles per hour, divide the total distance by the total time. In this case, 195 miles ÷ 3 hours = 65 miles per hour.

Front

What is the formula to find the unit price of an item?

Back

The unit price is found by dividing the total price by the number of units. For example, if Sargento cheese slices cost $2.48 for 10 slices, the unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

How do you compare unit prices to determine the better deal?

Back

To compare unit prices, calculate the unit price for each option and choose the one with the lower unit price. For example, compare the unit prices of Sargento and Velveeta cheese slices.

Front

What is the unit rate of snowfall if it snowed 14 inches in 5 hours?

Back

To find the unit rate of snowfall, divide the total inches of snow by the total hours. In this case, 14 inches ÷ 5 hours = 2.8 inches per hour.

Front

How do you calculate earnings per hour from total earnings and hours worked?

Back

To calculate earnings per hour, divide the total earnings by the total hours worked. For example, if Elijah earned $200 for 8 hours, the unit rate is $200 ÷ 8 = $25 per hour.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help consumers make informed decisions by allowing them to compare prices, speeds, and other quantities on a consistent basis.

Front

How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction where the numerator is the total quantity and the denominator is the unit quantity. For example, 65 miles per hour can be expressed as 65/1.

Front

What is the relationship between unit rates and ratios?

Back

Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity, while ratios can compare any two quantities.