Question

19. The value of x varies directly with y, and 2 when x = z; y = 6. Find the value of y when x = 107 A. y = 9 B.y = 4 C. y = 93 D.y = 15

Answer 1

Given data:

The first value of x is x=2/3.

The first value of y is y=6.

The expression y is directlly proportional to x is,

y=kx

Substitute 2/3 for x and 6 for y in the above expression.

`\begin{gathered} 6=(2)/(3)k \\ k=9 \end{gathered}`

The expression becomes y=9x

Substitute 10 1/3 for x in the above expression.

`\begin{gathered} y=9(10(1)/(3)) \\ =9((31)/(3)) \\ =93 \end{gathered}`

Thus, the value of y is 93.