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2. if m varies directly as the Square of n and m-72 when n=6, find m when n=8 equation​

Sagot :

NataleighScottlynidn

Problem:

If m varies directly as the square of n and m = 72 when n = 6, find m when n = 8.

Solution:

A direct variation is a relationship between two variables, x and y, that can be written as y = kx where k ≠ 0.

The statement, "m varies directly as the square of n" translated into directly variation is m = kn² where k is the constant of variation.

Solve if m is 72 and n is 6. So, find the constant using the equation of a combined variation.

  • m = kn²
  • (72) = k(6)²
  • 72 = k(36)
  • 72 = 36k
  • 36k/36 = 72/36
  • k = 2

The constant of the variation is 2. In equation of variation.

  • m = 2n²

Find m when n is 8. Substitute the equation using the constant of the variation that you obtained.

  • m = 2n²
  • m = 2(8)²
  • m = 2(64)
  • m = 128

Answer:

∴ Therefore, the value of m is 128 to the directly variation.

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