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Published byDeborah Walters Modified over 9 years ago
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I can write and graph an equation of a direct variation by identifying the constant of variation.
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Direct Variation
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Identifying a Direct Variation
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Graphing a Direct Variation Solve for the constant of variation. Write an equation. Make a table of values. Graph the ordered pairs. Connect the points if necessary. The line always passes through (0,0)
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Writing a Direct Variation Suppose y varies directly with x, and y = 35 when x = 5. What direct variation equation relates x and y? A direct variation is of the form: y = kx So, 35 = k(5) Solve for k by division: 7 = k Write an equation using 7 for k: y = 7x
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From a Table
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Using a Proportion
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Using Direct Variation to Solve A salesperson’s commission varies directly with sales. For $1000 in sales, the commission is $85. What is the commission for $2300 in sales? Y varies directly with x (y=kx) but in this case commission c varies directly with sales s. So we can say c = ks. Find k: 85 = k(1000) K = 0.085 Now find the commission when s = 2300 C=0.085(2300) C = 195.5 so the commission is $195.50
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Assignment Odds P. 71 #7-13,19-27,35
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