Respuesta :

bcalle
y = k/x is the inverse equation.
6 = k/11
Solving for k, multiply by 11 on both sides.
66 = k
y = 66/x

13.2 = 66/x
x = 5

Answer:

The answer is the option D

[tex]x=5[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

in this problem we have

For [tex]x=11, y=6[/tex]

Find the value of the constant k

[tex]y*x=k[/tex]------> [tex]k=6*11=66[/tex]

The equation is equal to

[tex]y=k/x[/tex]------> [tex]y=66/x[/tex]

For [tex]y=13.2[/tex]

Substitute the value of y and find the value of x

[tex]x=66/y[/tex] ------> [tex]x=66/13.2=5[/tex]