Answered

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x varies inversely as y2, and x = 3 when y = 10. Find x when y = 5. A) x = 18 B) x = 2 C) x = 12 D) x = 75

Sagot :

ANSWER:

The value of x is 12

STEP-BY-STEP EXPLANATION:

We have the following function according to the statement:

[tex]y^2=k\cdot\frac{1}{x}[/tex]

We first calculate the value of k, replacing (y = 10 and x = 3) and solving for k:

[tex]\begin{gathered} 10^2=k\cdot\frac{1}{3} \\ k\cdot\frac{1}{3}=100 \\ k=300 \end{gathered}[/tex]

Since we have the value of k, we can plug in the value of k = 300 and of y = 5 to calculate the new value of x, just like this:

[tex]\begin{gathered} 5^2=300\cdot\frac{1}{x} \\ x=\frac{300}{25} \\ x=12 \end{gathered}[/tex]

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