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?

IM so confused

Answer 1

Consider the graph.

The x-axis represents the wage per year x of a worker, and the y-axis represents the profit of the company.

Consider a certain year at which the wage of a worker is w, and the company's profit is P

after 1 year the wage becomes w+$450, and then the profit of the company decreases by 12*$1,500=$18,000 in that year.


The slope of the line is -18,000/450=-40


Answer: -40