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
