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

2 Answers

5 votes

Final answer:

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.

User Lejla
by
8.3k points
2 votes

Answer:

8/5

Step-by-step explanation:

w = k / √x

4 = k / √4

k = 8

w = 8 / √x

w = 8 / √25

w = 8/5

User IntrepidDude
by
8.4k points

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