Unit Rates

Learn unit rates, average speed.

Lesson 2 of 32 parts Practice Flashcards

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Unit Rates

Objective: Explain unit rates, apply the stated method, and check its conditions.

A unit rate compares one quantity with exactly one unit of another. Divide the first quantity by the second and carry the ordered units, such as dollars per notebook. A lower unit price does not by itself settle quality or budget needs. The denominator quantity must be nonzero.

Formulas

Unit price = total cost / item count

Worked examples

Try it7 notebooks cost $42. What is the cost per notebook in dollars?Show answer

Step 1: Divide total cost by notebook count. Step 2: 42/7=6. Step 3: The unit rate is $6 per notebook.

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Unit Rates

Objective: Explain unit rates, apply the stated method, and check its conditions.

Formulas

Unit price = total cost / item count

Worked examples

Try it7 notebooks cost $42. What is the cost per notebook in dollars?Show answer

Step 1: Divide total cost by notebook count. Step 2: 42/7=6. Step 3: The unit rate is $6 per notebook.

Average Speed

Objective: Explain average speed, apply the stated method, and check its conditions.

Average speed is total distance divided by elapsed time, with positive elapsed time. It measures the overall travel rate and need not equal the speed at every moment. Distance units divided by time units determine the resulting rate unit. Average speed does not describe every instant of the trip.

Formulas

Average speed = distance/time

Worked examples

Try itA cyclist travels 42 km in 7 hours. Find average speed in km/h.Show answer

Step 1: Average speed is distance divided by time. Step 2: Divide 42 by 7. Step 3: The speed is 6 km/h.

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