Answer:
[tex]q=10p[/tex]
Step-by-step explanation:
According to the given table, the variables have a linear relation, because there's a constant change involved.
Notice that p-variable increases by one unit, while q-variable increases by 10 units. That means the ratio of change is
[tex]r=\frac{\Delta q}{\Delta p}=\frac{10}{1}[/tex]
Then, we use one pair of elements, like (3,30), and the point-slope formula to find the equations.
[tex]q-q_{1} =m(p-p_{1} )\\q-30=10(p-3)\\q=10p-30+30\\q=10p[/tex]
Therfore, the equation that represents the table is [tex]q=10p[/tex]
