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Joint and combined Variation
•1-2: Find an equation of joint variation.
1. r varies jointly as p and q. r=96 when p = 6 and q = 4.

2. z varies jointly as w, x, and y, z = 24 when w= 2, x= 3, and y=8.

•3-4: Find an equation of combined variation.
3. a varies directly as b and inversely as c. a = 12 when b =4 and c=5.

4. z varies jointly as x and y and inversely as w. z = 100 when x = 5, y = 6, and w = 3.

•5-6: Find an equation of joint variation. Then solve for the missing value.
5. a varies jointly as b and c. One set of values is a = 86.4 when b= 9 and c = 12. Find a when b= 20 and c=6.5

6. m varies jointly as n and p. One set of values is m = 60 when n = 4 and p = 5. Find m when n = 12 and p= 2.

•7-8: Find an equation of combined variation. Then solve for the missing value.
7. d varies directly as e and inversely as f. One set of values is d = 10 when e = 4 and f = 2. Find d when e = 50
and f= 10.

8. z varies directly as x and inversely as y. One set of values is z = 16 when x = 32 and y = 0.4. Find z when x =
28 and y = 8.​


*/guys pa help


Sagot :

Step-by-step explanation:

1.)r=kpq

96=k(6)(4)

96=k24

----=-----

24. 24

k=4

2.)z=kwxy

24=k(2)(3)(8)

24=k48

----=------

48. 48

k=6

---

8

3.)a=kb

----

c

12=k4

----

5

12=k2

----=---

2. 2

k=6