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EXAMPLE 1

EXAMPLE 1. Writing an Equivalent Rate. Space. The International Space Station orbits Earth at an average rate of 15 miles every 3 seconds. How long will it take the space station to travel 150 miles?. 15 10. 15 mi. 150 mi. =. 30 sec. 3 sec. 3 10.

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EXAMPLE 1

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  1. EXAMPLE 1 Writing an Equivalent Rate Space The International Space Station orbits Earth at an average rate of 15miles every 3 seconds. How long will it take the space station to travel 150 miles?

  2. 15 10 15 mi 150 mi = 30 sec 3 sec 3 10 It will take the space station 30 seconds to travel 150 miles. ANSWER EXAMPLE 1 Writing an Equivalent Rate SOLUTION Write an equivalent rate that has 150 miles in the numerator.

  3. 15 3 15 mi 5 mi = 1 sec 3 sec 3 3 The space station’s average unit rate is 5 miles per second. ANSWER EXAMPLE 2 Writing a Unit Rate 15 mi Write the Space Station’s average rate of as a unit rate. 3 sec

  4. 35 mi 5 lb 32 oz 70 mi 20 lb 4 3. 1. 2. = = = ? 12 h $1 $10 6 h $8 4 oz $40 70 mi ANSWER ANSWER ANSWER for Example 1 and 2 GUIDED PRACTICE Copy and complete the statement.

  5. EXAMPLE 3 Using a Unit Rate Measurement There are 2.54 centimeters in 1 inch. How many centimeters are in 3 inches?

  6. 2.54 3 2.54 cm 7.62 cm = 1 in. 3 in. 3 10 ANSWER There are 7.62 centimeters in 3 inches. EXAMPLE 3 Using a Unit Rate SOLUTION Write an equivalent rate that has 3 inches in the denominator.

  7. EXAMPLE 3 Using a Unit Rate Check Use rulers to check: 3 in. is about 7.6 cm. The answer is reasonable.

  8. EXAMPLE 4 Comparing Unit Rates Refreshments A 12 ounce tub of popcorn costs $3.00. A 20 ounce tub of popcorn costs $4.00. Which tub is the better buy? Explain.

  9. 3 2 $.25 $3 12 ounce tub: = 12 oz 1 oz 12 12 EXAMPLE 4 Comparing Unit Rates SOLUTION $4.00 $3.00 The rates for the two sizes are and . Find the unit price for each tub of popcorn by finding the cost for 1 ounce of popcorn. 12 oz 20 oz

  10. 4 20 20 20 Compare the unit price: $.25 > $.20. The 12 ounce tub costs more per ounce, so the 20 ounce tub is the better buy. ANSWER EXAMPLE 4 Comparing Unit Rates SOLUTION $.20 $4 20 ounce tub: = 20 oz 1 oz

  11. ANSWER 6.35cm $3.68 $3.00 16 oz 12 oz 5. What If? In Example 4, suppose a 16 ounce tub of popcorn costs $3.68. Is the 12 ounce tub or the 16 ounce tub a better buy? Explain. ANSWER 16 oz; $0.23 per oz < $0.25 per oz = = for Example 3 and 4 GUIDED PRACTICE 4. How many centimeters are in 2.5 inches?

  12. SOLUTION Rewrite the time so that the units are the same. STEP 1 EXAMPLE 5 Standardized Test Practice 3 min+ 30 sec = 3 min + 0.5 min = 3.5 min

  13. ANSWER The driver will complete 15 laps in 10.5 minutes. The correct answer is C. EXAMPLE 5 Standardized Test Practice STEP2 Use a table to find the number of laps the driver will complete.

  14. for Example 5 GUIDED PRACTICE What If? 6. If the driver in Example 5 completed 5 laps in 5.5 minutes, how many laps would the driver complete in 22 minutes? ANSWER 20

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