Question

Please help me answer this math question, go throw the steps clearly.

Answer 1

From the graph of the problem we see that:

• the y-intercept is b = 0,

,

• taking the points (x1,y1) = (0,0) and (x2,y2) = (10,7500), the slope of the line is:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{7500-0}{10-0}=750.$

So the equation of the line is:

$y=f(x)=m\cdot x+b=750\cdot x\text{.}$

For x = 12 employees, the weekly costs are:

$f(12)=750\cdot12=9000.$

Comparing the weekly costs per 12 employees of this year ($9000), and the costs of the next year ($7200), we see that the following year the cost decreases.

Answer: The following year the rate decreases.