Question

for the inverse variation equation $xy = k$, what is the value of $x$ when $y = 4$ and $k = 7$?
$\frac{4}{7}$
$\frac{7}{4}$
3
28

Explanation:

Step1: Start with the inverse variation equation

We are given the equation \( xy = k \). Our goal is to solve for \( x \) when \( y = 4 \) and \( k = 7 \).

Step2: Isolate \( x \) in the equation

To solve for \( x \), we can divide both sides of the equation \( xy = k \) by \( y \) (assuming \( y
eq0 \)). This gives us the formula \( x=\frac{k}{y} \).

Step3: Substitute the given values of \( k \) and \( y \)

We know that \( k = 7 \) and \( y = 4 \). Substituting these values into the formula \( x=\frac{k}{y} \), we get \( x=\frac{7}{4} \).

Answer:

\(\frac{7}{4}\) (corresponding to the option \(\frac{7}{4}\))