Using Tables to Explore 7 2 Equivalent Ratios

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Warm Up Find the unit rate. 1. 16 miles in 4 hours 4 mi/h 2. 3 oranges for $2. 40 $0. 80 per orange 3. 3 bottles for $0. 93 $0. 31 per bottle 4. 6 DVDs for $36. 60 $6. 10 per DVD

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Problem of the Day There are 4 ounces in a gill. There are 4 gills in a pint. There are 8 pints in a gallon. How many ounces are the same as the total of 3 gallons, 3 pints, 3 gills, and 3 ounces? 447

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Learn to use a table to find equivalent ratios and rates.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Use a table to find ratios equivalent to 3 to 2. Original 3 Ratio • 2 3 • 3 3 • 4 Pints of yellow 3 6 9 12 Pints of blue 2 4 6 8 2 • 2 2 • 3 2 • 4 You can increase amounts but keep them in the same ratio by multiplying both the numerator and denominator of the ratio by the same number. The ratios 3 to 2, 6 to 4, 9 to 6, and 12 to 8 are equivalent. You can also decrease amounts in the same ratio by dividing the numerator and denominator by the same number.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Use a table to find the equivalent ratios. 6 __ 7 Original 6 Ratio • 2 6 • 3 6 • 4 6 12 18 24 7 14 21 28 Multiply the numerator and the denominator by 2, 3, and 4. 7 • 2 7 • 3 7 • 4 6 12 18 24 The ratios __, ___, and ___ are equivalent. 7 14 21 28

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Use a table to find the equivalent ratios. 3 to 5 Original 3 Ratio • 2 3 • 3 3 • 4 3 6 9 12 5 10 15 20 5 • 2 5 • 3 5 • Multiply the numerator and the denominator by 2, 3, and 4. 4 The ratios 3 to 5, 6 to 10, 9 to 15, and 12 to 20 are equivalent.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Check It Out: Example 1 C Use a table to find the equivalent ratios. 36: 12 Original 36 Ratio 2 36 ÷ ÷ 3 36 ÷ 36 18 12 9 12 6 4 3 12 ÷ 2 12 ÷ 3 12 ÷ 4 Divide the numerator and the denominator by 2, 3, and 4. 4 The ratios 36: 12, 18: 6, 12: 4, and 9: 3 are equivalent.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Application Several groups of friends are going to take a shuttle bus to the park. The table shows how much the different groups will pay in all. Predict how much a group of 15 friends will pay. Number in Group Bus Fare($) 6 12 12 24 18 36 12< 15 < 18; therefore, the group will pay between $24 and $36.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Additional Example 2 Continued Number in Group Bus Fare($) 6 12 12 24 18 36 Use the amount paid by the group of 6. Divide the bus fare by the number 12 ÷ 6 = 2 in each group to find the amount paid person. 2 • 15 = 30 Multiply. A group of 15 friends will pay $30 in bus fare.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Check It Out: Example 2 Several groups of friends are purchasing tickets to an amusement park. The table shows how much the different groups will pay in all. Predict how much a group of 7 friends will pay. Number in Group Tickets($) 4 20 6 30 8 40 6 < 7 < 8; therefore, the group will pay between $30 and $40.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Check It Out: Example 2 Continued Number in Group Tickets($) 4 20 6 30 8 40 Use the amount paid by the group of 8. Divide the ticket prices by the 40 ÷ 8 = 5 number of people in each group to find the amount paid person. 5 • 7 = 35 Multiply. A group of 7 friends will pay $35 for amusement park tickets.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Lesson Quizzes Standard Lesson Quiz for Student Response Systems

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Lesson Quiz: Part I Use a table to find three equivalent ratios. Possible Answers: 1 1. __ 3 2 , __ 3 , __ 4 __ 6 9 12 12 3. __ 60 6 , __ 2 , __ 1 __ 30 10 5 9 __ 18 , __ 27 , __ 36 __ 2. 4 8 12 16

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Lesson Quiz: Part II 4. Fred is saving for a new sound system. The table shows some amounts he could save in different numbers of weeks. Predict the amount of his savings after 10 weeks. $125 Weeks 4 8 12 Savings 50 100 150

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Lesson Quiz for Student Response Systems 1. Use a table identify three equivalent ratios of . A. B. C. D.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Lesson Quiz for Student Response Systems 2. Use a table identify three equivalent ratios of . A. B. C. D.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Lesson Quiz for Student Response Systems 3. Use a table identify three equivalent ratios of . A. B. C. D.

Using Tables to Explore 7 -2 Equivalent Ratios and Rates Lesson Quiz for Student Response Systems 4. A grocery store sells eggs in crates. The following table shows the prices of some crates. Predict how much Lee will pay for a crate of 18 eggs at the rate shown in the table. A. $2. 75 B. $3. 00 C. $3. 25 D. $3. 50