Question

W varies inversely as the square root of x when x=4 w=4 find when x=25

Answer 1

To solve the inverse variation problem, we calculated the constant of variation using the given conditions and then applied it to find the new value of w when x=25, which is 1.6.

Step-by-step explanation:

To find the value of w when x is different from the original condition, we need to use the concept of inverse variation. In this case, w varies inversely as the square root of x. When x=4, w=4, we can write the inverse variation equation as:

w = k /
`√(x)`

Where k is the constant of variation. To find k, we use the given values:

4 = k /
`√(4)` → k = 4 * 2 = 8

Now, to find w when x=25:

w = 8 /
`√(25)` = 8 / 5 = 1.6

Therefore, when x=25, w is 1.6.

Answer 2

8/5

Step-by-step explanation:

w = k / √x

4 = k / √4

k = 8

w = 8 / √x

w = 8 / √25

w = 8/5