Question

If s is directly proportional to v+3 and s = 8 when v=1, find s when v= -2

Answer 1

We are given that "s" is directly proportional to "v + 3". This means that the following relationship is given:

`m=(s)/(v+3)`

Where "m" is the proportionality constant. To determine the value of "m" we use the fact that when s = 8 then v = 1, therefore:

`m=(8)/(1+3)`

Solving the addition:

`m=(8)/(4)`

Now, we solve the quotient:

`m=2`

Therefore, the value of "m" is 2.

`2=(s)/(v+3)`

Now, we substitute the value v = -2:

`2=(s)/(-1+3)`

Solving the operation:

`\begin{gathered} 2=(s)/(1) \\ \\ 2=s \end{gathered}`

Therefore, the value of "s" is 2.