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Direction: In each of the following, y varies inversely as x. Find the values as indicated.
1. If y=3 when x=4, find y when x=6
2. If y= 10 when x=5, find y when r=25
3. If y= 12 when x= 8, find x when y=6
4. If y=10 when x= 5, find x when y =
5. If y=8 when x= 3, find y when x= 12​


Sagot :

Inverse variation formula:

[tex]y = \frac{k}{x} [/tex]

where 'k' is the constant of variation.

To find the indicated values, we have to know the value of k then substitute it to the given problem.

[tex]k = xy[/tex]

1. If y=3 when x=4, find y when x=6

k = xy

k = 4(3)

k = 12

y = k/x

y = 12/6

y = 2

2. If y= 10 when x=5, find y when x=25

k = xy

k = 5(10)

k = 50

y = k/x

y = 50/25

y = 2

3. If y= 12 when x= 8, find x when y=6

k = xy

k = 8(12)

k = 96

x = k/y

x = 96/6

x = 16

4. If y=10 when x= 5, find x when y =

5. If y=8 when x= 3, find y when x= 12

k = xy

k = 3(8)

k = 24

y = k/x

y = 24/1

y = 2