X varies directly with y where x =5, y=15 find the relationship with x and y

Mathematics

ScanSolve AI Answer

Answer

x=13yx = \frac{1}{3}y

Step-by-step solution

3 steps
  1. Write the direct variation formula.

    When xx varies directly with yy, the relationship can be written as:

    x=kyx = ky

    where kk is the constant of proportionality.

  2. Substitute the given values to find kk.

    Given x=5x = 5 and y=15y = 15:

    5=k(15)5 = k(15)

    Divide both sides by 15 to solve for kk:

    k=515k = \frac{5}{15} k=13k = \frac{1}{3}
  3. Write the relationship between xx and yy.

    Substitute the value of kk back into the direct variation formula:

    x=13yx = \frac{1}{3}y

    The relationship between xx and yy is x=13y\boxed{x = \frac{1}{3}y}.

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