1. 2-6 Ratio and Proportion Goal:
Solve a proportion by cross-multiplying.
Eligible Content:
A / A / A

2. 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 per person

3. 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.

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

5. Solve the Proportion
Cross Multiply
Solve
for x

6. Examples
y = 4.8
w = 4.5
x = 8
x = 4.5
x = -15

7. A. 10
B. 63
C. 6.3
D. 70

8. A. 6
B. 10
C. –10
D. 16

9. Practice
Worksheet – “11.1 Ratios and Proportions”

10. 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

11. 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

12. BICYCLING Trent goes on 30-mile bike ride every Saturday
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

13. Homework
Page 115 #16-28 even
#30,31,33
#40-42