Chapter 11: Q. 323 (page 1069)

If $y$ varies inversely with $x$ and $y = 5$ when $x = 4$ , find the equation that relates $x$ and $y$ .

Short Answer

Expert verified

The equation relating $x$ and $y$ is $x = \frac{20}{y}$ .

Step by step solution

Step 1. Given information

Given that $y$ varies inversely as $x$ and $y = 5$ when $x = 4$ .

Step 2. Determine the equation relating x and y.

As $y$ varies inversely as $x$ so, for some constant $k$ , $y = \frac{k}{x}$ .

Label the obtained equation.

$y = \frac{k}{x} (1)$

Substitute the given values and solve for $k$ .

localid="1645958114900" $\begin{array}{rcl} 5 & = & \frac{k}{4} \\ 20 & = & k \end{array}$

Substitute 20 for $k$ into equation $(1)$ .

$x = \frac{20}{y}$

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If $y$ varies inversely with $x$ and $y = 5$ when $x = 4$ , find the equation that relates $x$ and $y$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the equation relating x and y.

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If yvaries inversely withxandy=5whenx=4, find the equation that relatesxandy.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the equation relating x and y.

One App. One Place for Learning.

Most popular questions from this chapter

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If $y$ varies inversely with $x$ and $y = 5$ when $x = 4$ , find the equation that relates $x$ and $y$ .