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Algebra 2 HS Mathematics Unit: 08 Lesson: 01 ©2010, TESCCC 08/01/10 Practice: Variation KEY Identify whether each table shows direct variation, invers...

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Algebra 2 HS Mathematics Unit: 08 Lesson: 01

Practice: Variation Identify whether each table shows direct variation, inverse variation, or neither. 1.

2. x 4 5 8

y 110 88 55

3. x 4 5 8

y 11 10 7

4. x 2 5 10

y 50 20 10

x 2 5 10

y 13 32.5 65

Solve each problem. 5. If y varies directly as x, and y=20 when x=5, then what is y when x is 8?

6. If y varies inversely as x, and y=20 when x=5, then what is y when x is 8?

7. If y varies directly as x, and y=12 when x=20, then what is y when x is 15?

8. If y varies inversely as x, and y=12 when x=20, then what is y when x is 15?

9. If y varies directly as x, and y=16 when x=24, then what is y when x is 27?

10. If y varies inversely as x, and y=16 when x=24, then what is y when x is 27?

©2010, TESCCC

08/01/10

Algebra 2 HS Mathematics Unit: 08 Lesson: 01

Practice: Variation KEY Identify whether each table shows direct variation, inverse variation, or neither. 1. Inverse x y 4 110 5 88 8 55

2. Neither x 4 5 8

y 11 10 7

3. Inverse x y 2 50 5 20 10 10

4. Direct x y 2 13 5 32.5 10 65

Solve each problem. 5. If y varies directly as x, and y=20 when x=5, then what is y when x is 8? 20/5 = k k=4 y = 4(8) y = 32

6. If y varies inversely as x, and y=20 when x=5, then what is y when x is 8? 20(5) = k k =100 y = 100/8 y = 12.5

7. If y varies directly as x, and y=12 when x=20, then what is y when x is 15? 12/20 = k k = 0.6 y = 0.6(15) y=9

8. If y varies inversely as x, and y=12 when x=20, then what is y when x is 15? 20(12) = k k = 240 y = 240/15 y = 16

9. If y varies directly as x, and y=16 when x=24, then what is y when x is 27? 16/24 = k k = 2/3 y = (2/3)(27) y = 18

10. If y varies inversely as x, and y=16 when x=24, then what is y when x is 27? 24(16) = k k = 384 y = 384/27 y = 14.222…

©2010, TESCCC

08/01/10