Question

What equation represents the relationship between“p” and “q” shown in the table?

Answer 1

`q=10p`

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

`r=(\Delta q)/(\Delta p)=(10)/(1)`

Then, we use one pair of elements, like (3,30), and the point-slope formula to find the equations.

`q-q_(1) =m(p-p_(1) )\\q-30=10(p-3)\\q=10p-30+30\\q=10p`

Therfore, the equation that represents the table is
`q=10p`