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Lesson 34 Direct Variation with answers.notebook Questions/Main Ideas October 21, 2014 Lesson 34 Direct Variation direct variation described by an equation y = kx where k ≠0. there is a constant rate of change, k, also known as the constant of variation or constant of proportionality Example 1 Name the constant of variation for each equation. Then find the slope of the line that passes through each pair of points. a. b. Questions/Main Ideas Notice the graph of y = kx always passes through the origin the x and yintercepts are zero Example 2 3 Graph y = x 2 1 Lesson 34 Direct Variation with answers.notebook October 21, 2014 Questions/Main Ideas Questions/Main Ideas Example 3 Suppose y varies directly as x, and y = 9 when x = −3. a. Write a direct variation equation that relates x and y. b. Use the direct variation equation to find x when y = 15. 2 Lesson 34 Direct Variation with answers.notebook Questions/Main Ideas October 21, 2014 Common direct variation problem: d = rt Distance d varies directly as time t, and the rate r is the constant of variation. Example 4 The Ramirez family is driving crosscountry on vacation. They drive 330 miles in 5.5 hours. a. Write a direct variation equation to find the distance d driven in time t. b. Graph the equation. Questions/Main Ideas c. Estimate how many hours it would take to drive 500 miles. 3 Lesson 34 Direct Variation with answers.notebook October 21, 2014 4 Lesson 34 Direct Variation with answers.notebook October 21, 2014 5 Lesson 34 Direct Variation with answers.notebook October 21, 2014 6