Algebra 1
Inverse Variation HW
Circle the equations that represent an inverse variation.
1. y  4 x
4. y 
x
4
7. x = -8
2. y 
4
x
5. y  2 x  1
8. y 
2
x
For each problem find the inverse variation
10. If y = 21 when x = 10, find y when x = 4.
11. If y = 17.5 when x = 12, find y when x = 8.
3. y 
9
x
6. y  2 x
9. y = x + 7
12. To travel a fixed distance, the rate is inversely proportional to the time required.
When the rate is 60 miles per hour, the time required is 4 hours. What time would be
required for the same distance if the rate were increased to 80 miles per hour?
13. Tell if the set of data represents a direct variation, inverse variation, or neither.
x 1 2 3 4 5
y 3 6 9 12 15
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x 1 2 3 4 5
y 2 4 9 16 25
x 1 2 3 4
y 24 12 8 6
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14. A farmer pumps water from an irrigation well to water
his field. The time it takes to water the field varies
inversely with the rate at which the pump operates. It
takes 20 hours to water the field when the pumping rate is
600 gallons per minute. If he adjusts the pump so that it
pumps at a rate of 400 gallons per minute, how long will
it take to water the field?
F 12.5 hours
G 15 hours
H 30 hours
J 40 hours
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