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Chapter 8: Q. 8.179 (page 1015)

If p varies inversely with q and p = 30 when q = 12 find the equation that relates p and q.

Short Answer

Expert verified

p=360q

Step by step solution

01

Step 1. Given information.

We have been given that p varies inversely with q and p = 30 when q = 12. We have to find the equation that relates p and q.

02

Step 2. Write the formula for inverse variation and substitute the given values for the variables. 

The direct variation formula is p=kq.

Substitute p=30,q=12.

30=k12

03

Step 3. Solve for the constant of variation and write the equation that relates p and q  

30=k12k=30脳12k=360

Therefore, we can write:

p=360q

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