2 6 RATIO AND PROPORTION Goal Solve a

2 -6 RATIO AND PROPORTION Goal: Solve a proportion by cross-multiplying. Eligible Content: A 1. 1. 2. 1. 1 / A 1. 1. 2. 1. 3

VOCABULARY Rate – The ratio of two measurements having different units of measure. Unit Rate – amount for 1 unit. � Examples: $12 per shirt 35 miles per hour $8. 50 per hour 3 pieces of pizza person

VOCABULARY Ratio – the relationship of two quantities that are measured in the same unit. Proportion – an equation that sets two ratios equal to each other.

VOCABULARY Solve – find the value of the variable that makes the proportion true. Cross-Multiplication – multiplying the diagonals together to solve a proportion.

SOLVE THE PROPORTION Cross Multiply Solve for x

EXAMPLES 1. 2. 3. 4. 5. Ø y = 4. 8 Ø w = 4. 5 Ø x=8 Ø x = 4. 5 Ø x = -15

A. 10 B. 63 C. 6. 3 D. 70

A. 6 B. 10 C. – 10 D. 16

PRACTICE Worksheet – “ 11. 1 Ratios and Proportions”

WORD PROBLEM #1 You tested a sample of 100 packages from a shipment of 6000 packages. You found that 70 packages were under weight. Estimate the number of packages that will be under weight. 4200 packages

WORD PROBLEM #2 In the past 2 years, a retailer has opened 232 stores. If the rate of growth remains constant, how many stores will the retailer open in the next 3 years? 348 stores

BICYCLING Trent goes on 30 -mile bike ride every Saturday. He rides the distance in 4 hours. At this rate, how far can he ride in 6 hours? A. 7. 5 mi B. 20 mi C. 40 mi D. 45 mi

HOMEWORK Page 115 #16 -28 even #30, 31, 33 #40 -42