Chapter 11: Q3. (page 699)

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
$y = - 2$ when $x = 12$ .

Short Answer

Expert verified

An inverse variation equation that relates $x$ and $y$ is $x y = - 24$ .

Step by step solution

Step 1. Define the meaning of variation.

The changing of variable parameters is called a variation.

Step 2. Define an inverse variation equation.

The inverse variation equation of two variables $x$ and $y$ is given by

$x y = k$

Where, $k$ is called the constant of variation.

Step 3. Write an variation equation that relates x and y for y=−2 when x=12.

Assume that $y$ varies inversely as $x$ .

The inverse variation equation is given by

$x y = k$

Substitute $x = 12$ and $y = - 2$ .

$\begin{array}{l} 12 (- 2) = k \\ - 24 = k \\ k = - 24 \end{array}$

Substitute $k = - 24$ in $x y = k$ .

$x y = - 24$

Therefore an inverse variation equation that relates role="math" localid="1648014671581" $x$ and $y$ is $x y = - 24$ .

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Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
$y = - 2$ when $x = 12$ .

Short Answer

Step by step solution

Step 1. Define the meaning of variation.

Step 2. Define an inverse variation equation.

Step 3. Write an variation equation that relates x and y for y=−2 when x=12.

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Assume thaty varies inversely as x. Write an inverse variation equation that relatesx and y.y=−2when x=12.

Short Answer

Step by step solution

Step 1. Define the meaning of variation.

Step 2. Define an inverse variation equation.

Step 3. Write an variation equation that relates x and y for y=−2 when x=12.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Applied Mathematics

Pure Maths

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
$y = - 2$ when $x = 12$ .