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 [tex]\alpha[/tex] [tex]\frac{1}{y}[/tex]
⇒ x = [tex]\frac{k}{y}[/tex]
where k is the constant of proportionality.
Given that: x = 25, y = 3, then;
25 = [tex]\frac{k}{3}[/tex]
k = 3 x 25
= 75
The constant of variation is 75.
The value of x when y = 15 can be determined as;
x = [tex]\frac{75}{15}[/tex]
= 5
The value of x when k = 75 and y = 15 is 5.
