To find the function of the relationship between V and t, use the following general formula, which is the formula that represents an inverse proportionality.
[tex]xy=k[/tex]Where x and y are the variables and k is the consta t of proportionality.
In this case, the variables are V and t, it means that they will replace x and y in the formula, then, we have that:
[tex]Vt=k[/tex]It means that the product of V and t is always the same, it is a constant named as constant of proportionality. To find k use the given values of V and t, that are 10 and 2, respectively:
[tex]\begin{gathered} 10\cdot2=k \\ k=20 \end{gathered}[/tex]k has a value of 20, it means that the product of V and t will always be 20. It means that now, we can write an expression that relates V and t, because w know that nio matter which values have V and t, their product will always be 20, then Vt is 20:
[tex]\begin{gathered} Vt=20 \\ V=\frac{20}{t} \end{gathered}[/tex]It means that the function that relates V and t is:
[tex]V=20/t[/tex]