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2.2 Direct Variation. Identifying Direct Variation From Tables For each function, determine whether y varies directly with x. If so, what is the constant.

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Presentation on theme: "2.2 Direct Variation. Identifying Direct Variation From Tables For each function, determine whether y varies directly with x. If so, what is the constant."— Presentation transcript:

1 2.2 Direct Variation

2 Identifying Direct Variation From Tables For each function, determine whether y varies directly with x. If so, what is the constant of variation and the function rule? In example A., y varies directly with x. The constant of variation is 2. The function rule is y = 2x. In Example B., y/x is not constant. y does not vary directly with x.

3 Identifying Direct Variation from Equations

4 Identifying Direct Variation from Equations

5 Using a Proportion to Solve a Direct Variation

6 Using a Proportion to Solve a Problem A salesperson’s commission varies directly with sales. For $1000 in sales, the commission is $85. What is the commission for $2300 in sales? Step 1c = commissions = sales c = k(s) 85 = k(1000) k = 0.085 Step 2 c = k(s) c = 0.085(s) c = 0.085(2300) c = 195.5 The commission for $2300 in sales is $195.50.

7 More Practice!!!!! Homework – Textbook p. 71 – 72 #7 – 29.


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