Question

Suppose that the total cost of making and selling x widgets is C = 32x + 560 dollars. What is the meaning of the slope in this case?

Answer 1

Answer: The slope ($32) is giving the rate of each widgets.

Explanation:

The equation of a line in intercept form is given by :-

`y=mx+c,` where the coefficient of x is the slope of line.

Given : The total cost of making and selling x widgets is
`C = 32x + 560` is in intercept form, where the coefficient of x = 32.

Since the slope gives the rate of change of dependent variable w.r.t. independent variable.

Therefore, the meaning of the slope in this case is the the rate of change of cost per unit of widgets x.

i.e Slope gives the cost of each widgets =$32.