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if y varies directly as x, and y is 12 when x is 1.2, what is the const…

Question

if y varies directly as x, and y is 12 when x is 1.2, what is the constant of variation for this relation?

1
10
10.8
14.4

Explanation:

Set up the direct variation equation

$$ y = kx $$

Substitute the given values

$$ 12 = k \cdot 1.2 $$

Solve for the constant of variation k

$$ k = \frac{12}{1.2} = 10 $$

Answer:

  • (A) 1
  • (B) 10 (Correct answer)
  • (C) 10.8
  • (D) 14.4