Question

The value of Y varies directly with X. When Y = 75 , x= 1/2 . What is the value of Y when X is 2 1/4F. 84 3/8G. 337 1/2H. 16 2/3J . 168 3/4

Answer 1

Given that y and x vary directly, we have to use the following expression.

`y=kx`

Where k is the constant of proportionality between the variable.

Let's replace y = 75 and x = 1/5 to find k.

`\begin{gathered} 75=k\cdot(1)/(2) \\ k=150 \end{gathered}`

Then, we use k and x = 2 1/4 to find y.

`\begin{gathered} y=kx \\ y=150\cdot2(1)/(4)=150\cdot(9)/(4) \\ y=337(1)/(2) \end{gathered}`

Hence, the right answer is G.