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?

The answer is below

Step-by-step 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

450

step-by-step explanation:

you get texts and minutes, so why not

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).