advertisement

Name: ____________________________________ Units: _______ Date: _______ Direct and Inverse Variation Review Handout Write a function rule for the table. 1.) x 2 3 4 5 f(x) –8 –12 –16 –20 2.) x 3 4 5 6 f(x) 7 8 9 10 Read the problem and answer the questions that follow. 3.) A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeters per day. 3a.) Write a rule to describe the function. 3b.) After how many days will the zucchini plant be 0.185 meters tall? Write a direct or inverse variation equation. 4.) Write an equation of the direct variation that includes the point (9, –12). 5.) Suppose that y varies inversely with x. Write an equation for the inverse variation. y = 6 when x = 8 6.) The amount of a person’s paycheck varies directly with the number of hours worked. For 16 hours of work, the paycheck is $124.00. How many hours would you have to work to make $300? 7.) y varies inversely with x. Find the missing coordinate: (5, b) and (-4, -3). Write a rule for the arithmetic sequence. Then find the 50th term. 8.) 9, 13, 17, 21, . . . 9.) 5, 5.3, 5.6, 5.9, . . . Tell whether the data represents a direct variation, inverse variation, or neither. Write an equation for the direct or inverse variation. 10.) x 0 1 2 3 y 0 4 8 12 11.) x 2 3 4 5 y –6.6 –9.9 –13.2 –16.5 12.) An employee receives a weekly salary of $340 and a 6% commission on all sales. 12a.) Write a rule to describe the function f(d) that gives weekly earnings in terms of d dollars in sales. 12b.) Find the employee’s earnings for a week with $660 total sales. 12c.) What were the employee’s total sales for a week in which her earnings were $1300? 13.) The area formula for a parallelogram with area 36 is bh = 36. Does the formula represent a direct or an inverse variation? Explain. Answers: 1.) f(x) = -4x 2.) f(x) = x + 4 3a.) f(d) = 10 + 0.5d 3b.) 17 days 4.) y = 4 x 3 5.) xy = 48 6.) 38.7 hours 7.) b = 2.4 8.) A(n) =4n + 5; A(50) = 205 9.) A(n) = .3n + 4.7; A(50) = 19.7 10.) direct; y = 4x 11.) direct; y = -3.3x 12a.) f(d) = 340 + 0.06d 12b.) $379.60 12c.) $16,000 13.) Answers may vary; Inverse because xy equals a constant 36.