1. Which relations between two quantities
states โIf one quantity increases, the other
also increasesโ?
a. Inverse variation
b. direct variation
c. joint variation
d. combined variation
2. The number of days (d) to finish a certain
task varies inversely as the number (n) of
men working is written as
a. d = kn b. d =
๐
๐
c. k =
๐
๐
d. y = kdn
3. The formula for the area of a triangle
A =
1
2
bh is an example of_______.
a. direct variation
b. inverse variation
c. joint variation
d. combined variation
4. If y varies directly as x, and y = 40 when
x= 10, find y when x =12. (2 points)
5. What kind of variation does
p =
๐๐ยฒ
๐ ยณ
represent?
a. direct b. inverse
c. joint d. combined
6. Which equation below represents
inverse variation?
a. xy =
1
๐
b. y =
๐
๐ฅ
c.
1
๐ฅ๐ฆ
= k d.
๐
๐ฅ๐ฆ
=
1
2
7. ๏ดThe volume (V) of a cone varies
jointly as the square of the radius (r)
of its base and its height (h). Which
equation describes the variation
statement?
a. V = krยฒh c. V = krhยฒ
b. V =
๐๐ยฒ
โ
d. V =
๐ยฒโ
๐
8. If y varies inversely as x and y= 30 when x
=9, find x when y = 540. (2 points)
10. What is the variation statement for y =
๐๐
๐
?
a. y varies directly as b and c
b. y is inversely proportional to b and c
c. y varies directly as b and inversely as c d.
y varies jointly as b and c
11. Describe the graph at the right.
a. y varies directly as x
b. x varies directly as y
c. y varies inversely as x
d. x varies jointly as y
12.
13. If x varies jointly with y and the square of z. If
x=72 and y= 9 when z=2, find y when x = 36 and
z=3. (2 points)
14. Determine the variation statement for
the given table of values.
y
a. y is proportional to k
b. y varies inversely as x
c. y varies directly as x
d. x varies inversely as y
15. Find the constant of variation when โy
varies inversely as xโ
given y=16 and ๐ฅ =
1
4
.
a. 6 b. 5 c. 4 d. 2
16. If y varies directly as x and y = 18 when x
= 3, find the equation of variation.
a. y = 3x b. y = 5x
c. y = 6x d. y = 8x
17. If z varies directly as x and inversely as yยฒ and z=5
when x =4 and y=2, find z when x=5 and y=2. (2
points)
18. If s varies directly as t and inversely as v,
then which of the following equations
describes the relation among the three
variables s, t and v?
a. ๐ =
๐ฅ
๐ก๐ฃ
b. ๐ =
๐๐ฃ
๐ก
c.
1
๐
=
๐๐ก
๐ฃ
d. ๐ =
๐๐ก
๐ฃ
19. What is the equation of variation that
describes the table of values below? Write
your solution in any space of this page or in
a separate sheet of paper.
๐. ๐ฆ = 6๐ฅ c. ๐ฅ๐ฆ = 6
b. ๐ฆ =
6
๐ฅ
d. ๐ฅ = 6๐ฆ
20. What happens to T when h is doubled in the
equation T = 4h?
a. T is halved b. T is tripled
c. T is doubled d. T becomes zero