Question

10 suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation x = 2 when y = 11
options:
k = \frac{2}{11}, y = \frac{2}{11x}
k = \frac{11}{2}, y = \frac{11x}{2}
k = 22, y = \frac{22}{x}
k = \frac{11}{2}, y = \frac{11}{2x}

Explanation:

Step1: Recall inverse variation formula

Inverse variation: \(y = \frac{k}{x}\)

Step2: Substitute x=2, y=11 to find k

\(11 = \frac{k}{2}\) → \(k = 11×2 = 22\)

Step3: Write the variation equation

\(y = \frac{22}{x}\)

Answer:

k=22, y=\(\frac{22}{x}\)