1. 1.6 SOLVE PROPORTIONAL RELATIONSHIPS OBJECTIVE: USE PROPORTIONS TO SOLVE PROBLEMS PROPORTIONS – BRAIN POP

2. KEY CONCEPT: WRITE AND SOLVE PROPORTIONS A _________________ is an equation stating that two ratios or rates are equivalent Numbers Algebra

3. KEY CONCEPT: WRITE AND SOLVE PROPORTIONS Consider the following proportion: a = c b d The products ad and bc are called the ___________________ of this proportion. The cross products of any proportion are _____________ Example:

4. SOLVE EACH PROPORTION 1. x = 9 4 10 2. 2 = 5 34 y

5. EXAMPLE 3. The ratio of 7th grade students to 8 th grade students in a soccer league is 17:23. If there are 200 students in all, how many are in the 7 th grade?

6. USE UNIT RATE You can also use the unit rate to write an equation expressing the relationship between two proportional quantities. Example: Olivia bought 6 containers of yogurt for $7.68. Write an equation relating the cost c to the number of yogurts y. How much would Olivia pay for 10 yogurts at this same rate?

7. PRACTICE Solve each proportion: 1. k = 32 7 56 2. 3.2 = n 9 36 3. 41 = 5 x 2

8. ESSENTIAL QUESTION How do you solve a proportion? __________________________________________________________ __________________________________________________________ __________________________________________________________