Respuesta :

If x and y are inversely related then :

[tex]\bigstar\;\; \boxed{\mathsf{x \propto \dfrac{1}{y}}}[/tex]

[tex]\bigstar\;\; \boxed{\mathsf{\dfrac{x_1}{x_2} = \dfrac{y_2}{y_1}}}[/tex]

Given :  x₁ = 5 and x₂ = 15 and y₁ = 2 and y₂ = y

Substituting the values, We get :

[tex]:\implies \mathsf{\dfrac{5}{15} = \dfrac{y}{2}}[/tex]

[tex]:\implies \mathsf{\dfrac{1}{3} = \dfrac{y}{2}}[/tex]

[tex]:\implies \mathsf{y = \dfrac{2}{3}}[/tex]

[tex]:\implies[/tex]  y = 0.67

Answer : When x = 15 [tex]:\implies[/tex] y = 0.67