IDNStudy.com, ang perpektong platform para sa malinaw at eksaktong mga sagot. Ang aming platform ng tanong at sagot ay idinisenyo upang magbigay ng mabilis at eksaktong sagot sa lahat ng iyong mga tanong.

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.​

Sagot :

Joint variation

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.