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Chapter 11: Q3. (page 671)

If yvaries inversely as xand y=4whenx=鈭�8find ywhenx=鈭�4.

Short Answer

Expert verified

When x=鈭�4,y=8.

Step by step solution

01

Step 1. State the concept. 

Relationship of the form xy=kor y=kxwhere x,y鈮�0for some nonzero constant kis known as inverse variation i.e., yvaries inversely as x.

Product Rule for Inverse Variations 鈥� If x1,y1and x2,y2are solutions of an inverse variation, then x1y1=x2y2.

02

Step 2. Apply Product rule for Inverse Variations. 

To find ywhen x=鈭�4, substitute -8for x1, 4 for y1, and -4for x2into the equation x1y1=x2y2.

x1y1=x2y2鈭�8脳4=鈭�4y2

03

Step 3. Simplify for y2.

Further, simplify by dividing both sides by -4.

(鈭�8)(4)=(鈭�4)y2鈭�32=鈭�4y2y2=鈭�32鈭�4y2=8

Therefore, y=8, when x=鈭�4.

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Most popular questions from this chapter

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