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P varies directly as q and inversely as r. If it is given that p = 8 when q = 8 and r = 7, What is the value of p when q = 12 and r = 37.​

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Youcancallmenickgo

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P varies directly as q and inversely as r. If it is given that p = 8 when q = 8 and r = 7, What is the value of p when q = 12 and r = 3.​

First step:Translate the give problem into mathematical equation.

P=KQ/R

Second step:Solve for the constant variation of K.

8=K(8)/7

8×7

8×1

56=K8

8__8

7=K

K=7

Third step:Write the equation of variation.

P=7Q/R

Fourth step:solve for the unknown.

P=7*12/(3)

P=84/3

P=28

The value of p is 28 when q is equal to 12 and r is equal to 3.

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