Rate and Unit Rate

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you convert feet to meters?

Back

To convert feet to meters, multiply the number of feet by 0.3. For example, 110 feet is approximately 33 meters (110 x 0.3 = 33).

Front

How do you convert yards to meters?

Back

To convert yards to meters, multiply the number of yards by 0.9144. For example, 3 yards is approximately 2.74 meters (3 x 0.9144 = 2.74).

Front

What is the formula to find distance using rate and time?

Back

Distance = Rate x Time. For example, if a plane travels at a rate of 120 miles per hour for 3 hours, the distance traveled is 360 miles (120 x 3 = 360).

Front

How do you find the unit rate from a total distance and time?

Back

To find the unit rate, divide the total distance by the total time. For example, if a plane travels 360 miles in 3 hours, the unit rate is 120 miles per hour (360 ÷ 3 = 120).

Front

What is the relationship between cups and cookies in a recipe?

Back

The relationship can be expressed as a ratio. For example, if a recipe calls for 2¼ cups of flour for 3 dozen cookies, the ratio is 2.25 cups per 36 cookies.

Front

How do you scale a recipe for a different number of servings?

Back

To scale a recipe, set up a proportion based on the original servings and the desired servings. For example, to make 60 cookies from a recipe for 36 cookies, multiply the ingredients by 60/36.

Front

What is the process to find how many miles will be traveled in a different time?

Back

Use the unit rate to calculate the distance for the new time. For example, if the unit rate is 90 miles per hour, in 5 hours, the distance is 90 x 5 = 450 miles.

Front

How do you calculate the total time taken for a journey?

Back

Total time can be calculated by dividing the total distance by the rate. For example, if a car travels 240 miles at a speed of 60 miles per hour, the time taken is 240 ÷ 60 = 4 hours.