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Name: Direct and Inverse Variation practice a Problems 1-8 Use the information provided to write an equation representing the given relationship. 1. x and y vary directly. Write an equation to 2. If x and y vary inversely and y = 13 when represent their relationship if y = 12 when x = 8, write a function to represent the x = 8. relationship between the two variables. 3. The graph of a function passes through the 4. The value of y is 30 when x is 5 and the two point (4, 1.5). If y varies inversely as x, write variables vary inversely. Write an equation a function relating x and y. to represent this relationship. 5. Formulate a function representing the The graph of a function passes through the relationship between x and y if y varies point (14, 42). If y is directly proportional to directly as x and y = 50 when x = 5. x, write an equation relating x and y. 7. x and y vary directly. Write an equation to 8. y is inversely proportional to x and y is 2 represent their relationship if the graph of when x is 5. Formulate an equation their function passes through the point representing this relationship. (10, 2.5). Problems 9-12 Formulate a function to represent the relationship between x and y, graph the function on the grid provided, and use the function to solve problems. The graph of a function passes through the point (18, 2). The quantity y is inversely proportional to x. 9. Formulate a function to represent this 12. Graph the function. relationship. 10. What is the value of y when x is 24? 11. The function passes through the point (x, 3). What is the value of x