Question

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

Answer 1

Answer:

$q=10p$

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

$r=\frac{\Delta q}{\Delta p}=\frac{10}{1}$

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 $q=10p$

Answer 2

Because q is p times 10, the answer is

q = 10p