Question

for the inverse variation equation (xy = k), what is the constant of variation, (k), when (x = 7) and (y = 3)?

○ (\frac{3}{7})

○ (\frac{7}{3})

○ 10

○ 21

Explanation:

🆕 New Concept Discovered: Inverse Variation
Two variables change in opposite directions so their product is constant.

Step 1: Identify the given values and equation

We are given the inverse variation equation:

$$ xy = k $$

We are also given the values:

• \( x = 7 \)
• \( y = 3 \)

Step 2: Substitute the values to solve for \( k \)

Substitute \( x = 7 \) and \( y = 3 \) into the equation to find the constant of variation, \( k \):

$$ (7)(3) = k $$

$$ k = 21 $$

Answer:

21