Chapter 11: Q2. (page 671)

Assume that $y$ varies inversely as $x$ . If $y = 5$ when $x = - 4$ write an inverse variation equation that relates $x$ and $y$ .

Short Answer

Expert verified

The equation that relates $x$ and $y$ is $x y = - 20$ .

Step by step solution

Step 1. State the concept of inverse variation.

Relationship of the form $x y = k$ or $y = \frac{k}{x}$ where $x, y \neq 0$ for some nonzero constant $k$ is known as inverse variation i.e., $y$ varies inversely as $x$ .

Step 2. Calculate the constant of variation, k.

Since $y$ varies inversely as $x$ an inverse variation equation is given by $x y = k$ so, substitute 5 for $y$ , $- 4$ for $x$ into the equation $x y = k$ and solve for $k$ .

$x y = k (- 4) \times 5 = k - 20 = k$

The constant of variation is $k = - 20$ .

Step 3. Write the equation that relates x and y.

Since the constant of variation is $k = - 20$ . So, the equation that relates and $y$ is $x y = - 20$ . $x$

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Assume that $y$ varies inversely as $x$ . If $y = 5$ when $x = - 4$ write an inverse variation equation that relates $x$ and $y$ .

Short Answer

Step by step solution

Step 1. State the concept of inverse variation.

Step 2. Calculate the constant of variation, k.

Step 3. Write the equation that relates x and y.

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Assume that yvaries inversely as x. If y=5when x=−4write an inverse variation equation that relates xand y.

Short Answer

Step by step solution

Step 1. State the concept of inverse variation.

Step 2. Calculate the constant of variation, k.

Step 3. Write the equation that relates x and y.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Discrete Mathematics

Logic and Functions

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Assume that $y$ varies inversely as $x$ . If $y = 5$ when $x = - 4$ write an inverse variation equation that relates $x$ and $y$ .