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:

$m=\frac{s}{v+3}$

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

$m=\frac{8}{1+3}$

Solving the addition:

$m=\frac{8}{4}$

Now, we solve the quotient:

$m=2$

Therefore, the value of "m" is 2.

$2=\frac{s}{v+3}$

Now, we substitute the value v = -2:

$2=\frac{s}{-1+3}$

Solving the operation:

$\begin{gathered} 2=\frac{s}{1} \\ \\ 2=s \end{gathered}$

Therefore, the value of "s" is 2.