When m=2 and n=3, p=12. if p varies directly as m and inversely as n, what is the constant of variat…

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When m=2 and n=3, p=12. if p varies directly as m and inversely as n, what is the constant of variation​

Mga sagot sa #1 sa Tanong: When m=2 and n=3, p=12. if p varies directly as m and inversely as n, what is the constant of variation​

Problem:

When m = 2 and n = 3, p = 12. If p varies directly as m and inversely as n, what is the constant of variation?

Solution:

To translate into variation statement a relationship involving combined variation between two quantities.

The statement, "If p varies directly as m and inversely as n" translated into combined variation is p = km/n, where k is the constant of variation. Now, write an equation of a combined variation.

Solve if m is 2 when n is 3 and p is 12. So, find the constant using the equation of a combined variation.

• p = km/n
• 12 = k(2)/(3)
• 12 = 2k/3
• 12 × 3 = 2k
• 2k = 36/2
• k = 18

Therefore, the constant of the variation is 18. The equation of combination variation is p = 18m/n.

Answer:

∴ Therefore, the constant is 18 of the combination variation.

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