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solve the following problems.
1. If x varies directly as y, and x = 9 when y = 6, find x when y = 15.
2. If x varies inversely as y, and x = 5 when y = 4, find x when y = 2.
3. If x varies jointly to y and z, and x = 30, y = 2 when z = 5, find x
when y = 4 and z = 8.
4. If x varies directly to y and inversely to z, and x = 10, when y =
15 and z = 3, find x when y = 20 and z = 5.​


Sagot :

Answer:

1. If x varies directly as y, and x = 9 when y = 6, find x when y = 15.

x= k/y

9= k/6

k=(9)(6)

k=54

x=54/15

x = 3.6

2. If x varies inversely as y, and x = 5 when y = 4, find x when y = 2.

x=k/y

5=k/4

k=(5)(4)

k=20

x=20/2

x=10

3. If x varies jointly to y and z, and x = 30, y = 2 when z = 5, find x

when y = 4 and z = 8.

x=kyz

30=k(2)(5)

30=k10

k= 30/10

k=3

x=(3)(4)(8)

x=96

4. If x varies directly to y and inversely to z, and x = 10, when y =

15 and z = 3, find x when y = 20 and z = 5.

x=ky/z

10=k(15)

3

k15=(10)(3)

k15=30

k=30/15

k=2

x= (2)(20)

5

x= 40

5

x= 8