Section 8.1 Ratio and Proportion

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Presentation transcript:

Section 8.1 Ratio and Proportion Chapter 8 Similarity Section 8.1 Ratio and Proportion

All Fractions are ratios

Example 3(15) = 5(9) Example

4 qts in gal 1000 mg in a g 16 oz in a 1 lb 3 ft in a 1 yd

12 in. in a ft 24 hours in a day 100 cm in a m 1760 yds in a mi

To Solve a Proportion Cross Multiply 24x = 6(9) 24x = 54 6y = 9(4) 6y = 36 24m = 17(120) 24m = 2040

To Solve a Proportion Cross Multiply 6(x + 3) = 8x 6x + 18 = 8x 18 = 2x 9 = x 4(y – 4) = 3(y + 3) 4y – 16 = 3y + 9 y = 25 5y = 3(2y – 7) 5y = 6y – 21 -y = - 21 y = 21

2(20) = 5x 40 = 5x 8 = x

3x = 9(4) 3x = 36 x = 12

8x = 5(44) 8x = 220

Your ratio of inches to total length in feet Write a Proportion Your ratio of inches to total length in feet The given ratio 16x = 560 x = 35 Your model is 35 inches long

Your ratio of inches to total length in feet Write a Proportion Your ratio of inches to total length in feet The given ratio x = 80 The actual sub is 80 feet tall

HW #10 Pg 461-464 12, 16, 20, 24, 28, 32, 36, 40, 44-47, 51-58, 62-66, 68-76 Even