Rates and Unit Rate

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often with 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 one unit. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

How do you calculate the price per gallon of gas?

Back

To find the price per gallon, divide the total cost by the number of gallons. For example, if it costs $46.80 to fill a 13-gallon tank, the price per gallon is $46.80 ÷ 13 = $3.60.

Front

How do you find the cost per pound of dog food?

Back

To find the cost per pound, divide the total cost of the bag by the weight of the bag in pounds. For example, for a 20-lb bag costing $23.44, the cost per pound is $23.44 ÷ 20 = $1.17.

Front

What is the formula to find the unit rate of speed?

Back

The formula to find the unit rate of speed is: Speed = Distance ÷ Time. For example, if a person travels 195 miles in 3 hours, the speed is 195 ÷ 3 = 65 miles per hour.

Front

How do you calculate words typed per minute?

Back

To calculate words typed per minute, divide the total number of words by the total time in minutes. For example, if 408 words are typed in 4 minutes, the rate is 408 ÷ 4 = 102 words per minute.

Front

If a cashier serves 2 customers in 8 minutes, how many customers can he serve in 30 minutes?

Back

To find out how many customers can be served in 30 minutes, first find the rate: 2 customers ÷ 8 minutes = 0.25 customers per minute. Then multiply by 30 minutes: 0.25 × 30 = 7.5 customers.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two quantities with different units, while ratios can compare any two quantities, regardless of their units.

Front

What is the significance of rounding in unit rates?

Back

Rounding is important in unit rates to simplify numbers for easier understanding and comparison, especially when dealing with money or measurements.

Front

How can you compare unit rates from different products?

Back

To compare unit rates, calculate the unit rate for each product and then compare the values. The product with the lower unit rate is the better deal.