Question

for the inverse variation equation $xy = k$, what is the constant of variation, $k$, when $x = 7$ and $y = 3$?\
$\frac{7}{3}$\
21\
$\frac{3}{7}$\
10

Explanation:

Step1: Identify the formula

The inverse variation equation is given as \( xy = k \). We need to find \( k \) when \( x = 7 \) and \( y = 3 \).

Step2: Substitute the values

Substitute \( x = 7 \) and \( y = 3 \) into the equation \( xy = k \). So we have \( k = 7\times3 \).

Step3: Calculate the product

Calculate \( 7\times3 \), which equals \( 21 \).

Answer:

21 (the option with the value 21)