my math cba review

Question

The cost of 6 pencils at a store is 30 cents. Each pencil has the same cost. Which graph has a slope that best represents the cost of each pencil at this store?

Answer 1

I don't see any graphs but the one you want will be

straight line through the origin with slope = 5= "rise over run" = change in y over change in x

x, y intercepts = 0

another point on the graph Is (6,30) where cost is measured on the vertical axis, # of pencils on the x axis

C(p) = 5p, with C=Cost, p=# of pencils

or

y(x) = 5x where slope is the coefficient of the x term when the equation is solved for x

slope = the derivative = y' = dy/dx = (5x)'= 5