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1.) if h varies jointly as i and and the square of j and inversely as g; and h =50 when j =2. i=5 ang g=½, find h when j=4, i = 10 and g=¼.

A.)25
B.)100
C.)800
D.)50

2.) if a varies jointly as b and c and a=21 when b =7 and C=6
what is the constant of the variation?
A.)½
B.)⅓
C.)2
D.) 3



3.) x varies directly as y and inversely as z and x=3 when y=6 and z=12 . what is the constant of the variation?
A.) 3
B.)6
C.) 9
D.)12


4.)w varies directly as the square of x and inversely as p and q.if w=12 when x=4 ,p=2 and q = 20. Find w when x=3, p=8 and q=5.

A.)10
B.)9
C.)27/4
D.) 9/5


5.) if s varies directly as t and inversely as v, then which of ghe following equation describes the relations among the three variables s,t and v?


patulong naman po mga ate at kuya na matatalino pl,s dumudugo na utak ko:(​

Sagot :

KallesEliasgo

1.) if h varies jointly as i and the square of j and inversely as g; and h = 50 when j =2, i = 5 and g = ½, find h when j = 4, i = 10 and g = ¼.

A.)25

B.)100

C.)800

D.)50

Solution:

h = kij²/g

50 = k(5)(2²)/1/2

50(1/2) = k(5)(4)

25 = k(20)

k = 25/20

k = 5/4

h = kij²/g

h = (5/4)(10)(4²)/(1/4)

h = (5/4)(10)(16)/(1/4)

h = 200/4

h = 50

Answer:

h = 50

2.) if a varies jointly as b and c and a=21 when b =7 and C=6, what is the constant of the variation?

A.)½

B.)⅓

C.)2

D.) 3

Solution:

a = kbc

21 = k(7)(6)

21 = k(42)

21/42 = k

k = 1/2

Answer:

k = 1/2

3.) x varies directly as y and inversely as z and x = 3 when y = 6 and z = 12 . what is the constant of the variation?

A.) 3

B.) 6

C.) 9

D.) 12

Solution:

x = ky/z

3 = k(6)/12

3(12) = k(6)

36 = k(6)

36/6 = k

k = 6

Answer:

k = 6

4.) w varies directly as the square of x and inversely as p and q, if w = 12 when x = 4 , p = 2 and q = 20. Find w when x = 3, p = 8 and q = 5.

A.) 10

B.) 9

C.) 27/4

D.) 9/5

Solution:

w = kx²/pq

12 = k(4²)/(2)(20)

12 = k(16)/40

12(40) = k(16)

480 = k(16)

480/16 = k

k = 30

w = kx²/pq

w = 30(3²)/8(5)

w = 30(9)/40

w = 270/40

w = 27/4

Answer:

w = 27/4

5.) if s varies directly as t and inversely as v, then which of the following equation describes the relations among the three variables s, t and v?

Answer:

s = kt/v

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