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damaskus [11]
3 years ago
5

If x and y vary inversely and x =25 , when y =3 find x when constant of variation =15​

History
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

The value of x is 5.

Explanation:

An inverse variation is a relationship between two variables in which as the value of one increases, the value of the other decreases.

Thus,

x \alpha \frac{1}{y}

⇒ x = \frac{k}{y}

where k is the constant of proportionality.

Given that: x = 25, y = 3, then;

25 = \frac{k}{3}

k = 3 x 25

  = 75

The constant of variation is 75.

The value of x when y = 15 can be determined as;

x = \frac{75}{15}

  = 5

The value of x when k = 75 and y = 15 is 5.

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