Algebra 1 - MathnMind

12-1
NAME ______________________________________________ DATE ____________ PERIOD _____
Practice
Inverse Variation
Graph each variation if y varies inversely as x.
1. y 2 when x 12 2. y 6 when x 5 3. y 2.5 when x 2
y
16
8
16 8 O 8 16x
8
16
24 12 O 12 24x
Write an inverse variation equation that relates x and y. Assume that y varies
inversely as x. Then solve.
y
24
4. If y 124 when x 12, find y when x 24.
5. If y 8.5 when x 6, find y when x 2.5.
6. If y 3.2 when x 5.5, find y when x 6.4.
7. If y 0.6 when x 7.5, find y when x 1.25.
1
8. If y 6 when x , find x when y 4.
2
1
9. If y 8 when x , find x when y 12.
4
10. If y 4 when x 2, find x when y 10.
11. If y 7 when x 4, find x when y 6.
EMPLOYMENT For Exercises 12 and 13, use the following information.
The manager of a lumber store schedules 6 employees to take inventory in an 8-hour work
period. The manager assumes all employees work at the same rate.
12. Suppose 2 employees call in sick. How many hours will 4 employees need to take
inventory?
13. If the district supervisor calls in and says she needs the inventory finished in 6 hours,
how many employees should the manager assign to take inventory?
14. TRAVEL Jesse and Joaquin can drive to their grandparents’ home in 3 hours if they
average 50 miles per hour. Since the road between the homes is winding and
mountainous, their parents prefer they average between 40 and 45 miles per hour.
How long will it take to drive to the grandparents’ home at the reduced speed?
12
12
24
© Glencoe/McGraw-Hill 708 Glencoe Algebra 1