Question

If y varies inversely as x and y is 6 when x is 11, what is x when y is 13.2? a. 2.73 b. 8.8 c. 0.37 d. 5

Answer 1

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 2

Answer:

The answer is the option D

$x=5$

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 $y*x=k$ or $y=k/x$

in this problem we have

For $x=11, y=6$

Find the value of the constant k

$y*x=k$------> $k=6*11=66$

The equation is equal to

$y=k/x$------> $y=66/x$

For $y=13.2$

Substitute the value of y and find the value of x

$x=66/y$ ------> $x=66/13.2=5$