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*6 \\ C=(20)/(6) \end{gathered}`

Now when x = 24

then y is

`\begin{gathered} y=C*24 \\ y=(20)/(6)*24 \\ y=80 \end{gathered}`

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

the correct answer is option b.