Direct Variation Quiz - blogs



Name: ___________________________ Date: _______________ Period: ________

Unit 6 ~ Linear Equations/Inequalities in Two Variables

Direct and Inverse Variation Take-Home Quiz

1. Describe the graph of a direct variation and draw an example.

2. How is the graph of an inverse variation different from the graph of direct variation? Draw an example of an inverse variation graph.

3. If I am looking at an inverse relation, if y increases what happens to x? Explain what happens to y as x decreases.

Use the following table to answer questions 4 - 6.

|X |Y |

|15 |2 |

|10 |3 |

|5 |6 |

|3 |10 |

4. Does this show an inverse variation/proportion relationship? Explain why or why not.

5. What is the constant (k)?

6. What is the equation for this table?

7. If y varies directly as x, and y=28 and x = 7, find y when x = 12.

8. If y varies inversely as x, and y = 0.8 and x = 10, find x when y = 4.

9. Johnny’s paycheck varies directly by the number of hours worked. If he works 15 hours, his pay is $78.75. Find the pay for 35 hours of work. (Hint: Either find the proportion or the constant)

10. Mary drives home from work in 40 minutes driving 55 mph. If Mary needs to get home 15 minutes earlier, how fast does she need to drive?

If y varies directly as x, and x = 3 and y = 9:

11. Solve for k: ____________________________

12. Write an equation that relates x & y ________________________

If y varies inversely as x, and x = 3 and y = 12

13. Solve for k: ____________________________

14. Write an equation that relates x & y _______________________

15. Which graph represents an inverse variation/proportion?

a. [pic] b. [pic]

c. [pic] d. [pic]

Bonus:

Solve for x. 4(x + 3) < 2x + 20

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