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Chapter 11: Q2. (page 699)

Assume that yvaries inversely as x. Write an inverse variation equation that relates xand y.

role="math" localid="1648013702502" y=5whenx=10.

Short Answer

Expert verified

An inverse variation equation that relatesx andy is xy=50.

Step by step solution

01

Step 1. Define the meaning of variation.

The changing of variable parameters is called a variation.

02

Step 2. Define an inverse variation equation.

The inverse variation equation of two variablesx andy is given by

xy=k

Where,role="math" localid="1648013829424" kis called the constant of variation.

03

Step 3. Write an variation equation that relates x and y for y=5 when x=10.

Assume thaty varies inversely as x.

The inverse variation equation is given by

xy=k

Substitutex=10 and y=5.

10脳5=k50=kk=50

Substitute k=50in xy=k.

xy=50

Therefore an inverse variation equation that relates role="math" localid="1648014076213" xand yis xy=50.

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