1. miles minutes How will this proportion be setup? 6 miles = 26.2 58 minutes x minutes 6x = 58(26.2) 6x = 1519.6 6 6 x = 253.3 minutes How many hours and minutes would this be? It would take her 4 hours and 13.3 minutes to finish the race.

2. 8. Maps: On a map, North Carolina, Raleigh and Asheville are about 8 inches apart. If the scale is 1 inch = 12 miles, how far apart are the cities? The rate will be inches miles 1inch = 8 inches 12 miles m miles 1m = 96 Cross Products m = 96 miles Simplify The cities are about 96 miles apart.

3. 33. Menu: On Monday, a restaurant made $545 selling 110 hamburgers. If they sold 53 hamburgers on Tuesday, how much did they make? The rate will be cost hamburgers cost 545 = x Hamburgers 110 53 110x = 28, 885 Cross products 110 110 Divide both sides by 110 x = 262.59 Simplify

4. TThe made about $262.59 on Tuesday for selling 53 hamburgers. Proportions Using the Distributive Property. 27. x – 3 = 6 5 10 10(x – 3) = 30 Cross products 10x – 30 = 30 Distributive Property +30 +30 Add 30 to both sides 10x = 60 Simplify 10 10 Divide 10 on both sides x = 6 Simplify

5.  Shared Practice: Now try 29, 31 and 35

6.  37. 4v + 7 = 6v + 2 15 10 15(6v + 2) = 10(4v + 7) 90v + 30 = 40v + 70 Try 39

7. 44. Diaries: In a survey, 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary. How many students were in the survey? What units of measure are we using? students keeping an electronic diary total students 36 = 900 100 x 36x = 90,000 36 36 x = 2,500

8.  There were 2500 total students in the survey.