Chapter 11: Q6. (page 731)

Solve. Assume that $y$ varies inversely as $x$ .
If $y = 2$ when $x = 0.5$ , find $y$ when $x = 3$ .

Short Answer

Expert verified

When $x = 3$ , $y = \frac{1}{3}$ .

Step by step solution

Step 1. Product rule for inverse variation.

If $(a_{1}, b_{1})$ and $(a_{2}, b_{2})$ are solutions of an inverse variation, then the products $a_{1} b_{1}$ and $a_{2} b_{2}$ are equal.

Step 2. Apply product rule.

Apply product rule for inverse variation.

$\begin{matrix} x_{1} y_{1} = x_{2} y_{2} \\ (0.5) (2) = 3 (y) \end{matrix}$

Step 3. Simplify.

Simplify the above obtained equation.

$\begin{matrix} \frac{1}{3} = \frac{3 y}{3} \\ y = \frac{1}{3} \end{matrix}$

Therefore, when width="36">x=3, $y = \frac{1}{3}$ .

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Solve. Assume that $y$ varies inversely as $x$ .
If $y = 2$ when $x = 0.5$ , find $y$ when $x = 3$ .

Short Answer

Step by step solution

Step 1. Product rule for inverse variation.

Step 2. Apply product rule.

Step 3. Simplify.

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Solve. Assume thaty varies inversely as x.Ify=2 when x=0.5, findy when x=3.

Short Answer

Step by step solution

Step 1. Product rule for inverse variation.

Step 2. Apply product rule.

Step 3. Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Mechanics Maths

Pure Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve. Assume that $y$ varies inversely as $x$ .
If $y = 2$ when $x = 0.5$ , find $y$ when $x = 3$ .