Question

A company’s profits      (P)  are related to increases in a worker’s average pay (x) by a linear equation. If the company’s profits drop by $1,500 per month for every increase of $450 per year in the worker’s average pay, what is the slope of the graph of the equation?

Answer 1

If we are to establish the equation that would allow us to express the given scenario, we are to first make all the values into a per year or per month basis. For the purpose of showing the solution in this item, we use the per year basis. The equation is then equal to,

P = 450x - (1500)(12)

P = 450x - 18000

The equation is in the slope-intercept form in which the slope is the numerical coefficient of the first term on the right hand side of the equation. Hence, the answer to this item is 450.