If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Tatayana Reynolds
Direct and Inverse Variation
Feb 03, 9:21:35 AM
If p and q vary inversely and p is 22 when q is 5, determine q when p is equal
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Expert Solution
Step 1

Given that P and q varies inversely.

Then, p α 1q and p =k1q where k is the constant of proportionality.

Note that, p=22 when q=5. Then,

22=k15k=110

Now, substitute p=2 and k=110 in p =k1q.

2=1101qq=55

 

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