Question

Sarah accepted a new job at a company with a contract guaranteeing annual raises.

Sarah's salary after working for n years can be determined using the equation

S = 90000 + 3500n. What is the slope of the equation and what is its

interpretation in the context of the problem?

Answer 1

The answer is below

Explanation:

A linear equation is in the form of y = mx + b, where y is a dependent variable (that is it depends on other variable), x is an independent variable (that is it does not depend on any variable), m is the slope (rate of change) and b is the value of y at x =0

Given that S is salary, n is number of working years. It is given by:

S = 90000 + 3500n

the slope = 3500

The equation means that Sarah's beginning salary is 90000 and the salary increases by 3500 each year