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

The answer is the option D

`x=5`

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`