Algebra 1 Notes 3.6

Warm Up1. 3.

2. 4.

52 55 ____52

____82 ____100

____9

64 88

3 3 3

01 0110

Vocabulary 3.6• Ratio: Comparison of two numbers by

division. Can be expressed 3 ways.

• Proportion: Equation stating two ratios are equal. Solve by cross products.

Example 1

• Determine whether the ratios 4 and 24

5 30

form a proportion.

Example 2

• Solve the proportion n 24

15 16=

Example 3

• Trent goes on a 30 mile bike ride every Saturday. He rides the distance in 4 hours. At this rate, how far can he ride in 6 hours?

Example 4

• The scale for the map of Connecticut is 5 inches = 41 miles. The distance between two cities is 2 ½ inches. What is the distance in miles?

Example 5

• Solve the proportion: 4 14

9 x + 3=

Example 6

• Solve the proportion: 5 10

-2 x - 5=