Name
Class
Date
8-1 HW Worksheet
Is the relationship between the values in each table a direct variation, an
inverse variation, or neither? Write an equation to model the direct and
inverse variations.
1.
x
y
0.1
3
3
0.1
6
0.05
24
0.0125
2.
3.
x
y
x
y
1
2
5
6
3
6
15
18
0
2
4
6
1
5
7
8
Suppose that x and y vary inversely. Write a function that models each inverse
variation. Find y when x = 10.
4. x = 2 when y = − 4
5. x = − 9 when y = − 1
6. x = 1.5 when y = 10
7. The amount of time on your phone during class varies inversely with the
grade you receive. A student who spends 20 minutes on their phone receives a
75. What grade would you expect a student to receive if they spend 35
minutes on their phone?
Write a variation equation for each of the following.
8. w varies directly with h and inversely with r.
9. G varies jointly with x and y.
10. h varies directly with p and inversely with y squared.
11. h varies jointly with a, b, and c
Write a variation equation and solve.
12. h varies directly with r and inversely with x. When h = 5, r = 3, and x = 9.
Find h when r = 2 and x = 6.
13. z varies jointly with x and y. When z = 24, x = 2, and y = 3. Find z when x
= 5 and y = 4.
14. The load P (in pounds) that can be safely supported by a horizontal beam
varies jointly with the width W (in feet) of the beam and the square of its depth
D (in feet), and inversely with its length L (in feet). A beam that measures 2 ft.
in width, 1 ft. in depth, and 10 ft. in length can support 20 lbs. How many
pounds can be supported by a beam that has width 3 ft., depth 2 ft., and length
12 ft.?