Question

If y varies directly as andy 20 when x = 6, what is the value of y whenx = 24? a. 36 b.80 C 30 d. 4I need help fast

Answer 1

it is given that

y proportional to the x

$y\text{ }\infty\text{ x}$$y=Cx$

where C is the constant of proportionality

now

when x = 6 , y = 20

$\begin{gathered} 20=C\times6 \\ C=\frac{20}{6} \end{gathered}$

Now when x = 24

then y is

$\begin{gathered} y=C\times24 \\ y=\frac{20}{6}\times24 \\ y=80 \end{gathered}$

So the value of y is 80 when x = 24.

the correct answer is option b.