2-6 Ratio and Proportion Goal:

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Presentation transcript:

2-6 Ratio and Proportion Goal: Solve a proportion by cross-multiplying. Eligible Content: A1.1.2.1.1 / A1.1.2.1.2 / A1.1.2.1.3

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 per 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 y = 4.8 w = 4.5 x = 8 x = 4.5 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 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