Write an Equation COURSE 3 LESSON 7-5

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Write an Equation COURSE 3 LESSON 7-5 Sound travels at about 1.1  103 ft/s. How far does a sound travel in 11 s? Sound travels at about 1.1  103 ft/s. Your goal is to find how far a sound will travel in 11 s. Use the formula d = r • t with the given information. 7-5

Write an Equation (continued) Words distance is rate times time COURSE 3 LESSON 7-5 (continued) Words distance is rate times time Let d = the distance the sound travels. Equation d = 1.1  103 • 11 d = (1.1  103) • 11 = 12.1  103 Multiply 1.1 and 11. = 1.21  101  103 Write 12.1 in scientific notation. = 1.21  104 Add the exponents. The sounds travels 1.21  104 feet. 7-5

Write an Equation (continued) COURSE 3 LESSON 7-5 (continued) The exponent on 10 for the distance is 4. This is larger than the exponent on 10 for the rate. 7-5

Write an Equation COURSE 3 LESSON 7-5 A certain blood sample contains 3  1012 red blood cells. If there are 5  1010 red blood cells in 1 milliliter of blood, about how many milliliters of blood are in this sample? There are 5  1010 red blood cells in 1 milliliter of blood and 3  1012 in the sample. Your goal is to find the number of milliliters of blood in the sample. You can write an equation to solve this problem. 7-5

Write an Equation (continued) Words milliliters of blood COURSE 3 LESSON 7-5 (continued) Words milliliters of blood total number of red blood cells times is in a milliliter Let b = the milliliters of blood. Equation b • 5  1010 = 3  1012 b (5  1010) = 3  1012 Divide each side by 5.0  1010. b (5  1010) 5  1010 3  1012 = 7-5

Write an Equation  (continued) COURSE 3 LESSON 7-5 (continued) Use the Associative Property of Multiplication. 1012 1010 3 5  b = Divide. Subtract the exponents. b = 0.6  102 Write in standard form. b = 60 There are about 60 milliliters of blood in the sample. Place the solution in the original equation. 60 (5  1010) = 300  1010 = 3  1012 7-5

Write an Equation Write an equation to solve each problem. COURSE 3 LESSON 7-5 Write an Equation Write an equation to solve each problem. 1. A space probe travels at 1.5  105 m/h. How far does it travel in 32 days? 2. Light travels at 3  108 m/s. How many seconds does a light ray take to travel 1.8  1011 m? 1.152  108 m 600 s 7-5