Question

If y varies directly with x by a constant of 3/2, what is the value of x when y equals 14?

Answer 1

If we have that y varies directly with x by a constant of 3/2, we can pose this as follows:

`(y)/(x)=(3)/(2),y=(3)/(2)x`

Thus, if the value for y = 14, then we can use the previous relation to find the value of x:

`(3)/(2)=(14)/(x)\Rightarrow(x)/(14)=(2)/(3)\Rightarrow x=(2\cdot14)/(3)\Rightarrow x=(28)/(3)\Rightarrow x=9.333333333\ldots.`

Then, the value for x = 9.33333... or 91/3:

`x=9.333333,x=9(1)/(3)`