170 likes | 976 Views
Rates Ratios Unit Rate Proportions. A rate is a ratio that compares quantities in different units. To find a rate: Write ratio as a fraction Simplify. Ways to express a rate: 2 to 4 2:4 2 out of 4 2/4 Example of Solving: 2 to 4= 2/4=1/2. Rates.
E N D
Rates Ratios Unit Rate Proportions
A rate is a ratio that compares quantities in different units. To find a rate: Write ratio as a fraction Simplify Ways to express a rate: 2 to 4 2:4 2 out of 4 2/4 Example of Solving: 2 to 4= 2/4=1/2 Rates
A ratio is a comparison of two quantities by division. You can write a ratio in different ways: Arithmetic Algebra Arithmetic- Ex: 10 to 15, 10:15, 10/15 Algebra- Ex: a to b, a: b, a/b for b doesn’t = 0 To solve -Write as a fraction -Simplify Ratios
A proportion is an quality of two ratios- for example, 6/9=8/12 To solve: -Write as fraction -Multiply cross products Example: 21 6 = 3 4 = 2 4 2 2/6=1/3 Proportions
A unit rate is a rate that has a denominator of 1. Examples of unit rates include unit prices, gas mileage, and speed Examples: A sprinter runs 200m in 25s. 200m = x m 25sec. 1 sec. 200(1)=25(x) 200= 8m per second 25 Unit Rate