Write A Linear Equation for Monthly Salary + Commission

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
6 replies · 2K views
nycmathguy
Homework Statement
Write a linear equation.
Relevant Equations
y = mx + b
Write a linear equation for the application.

A pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of
7% of sales. Write a linear equation for the salesperson’s monthly wage W in terms of monthly sales S.

Solution:

I am looking for W(S).

S = monthly sales

Let 7% become 0.07.

I say the linear equation is
W(S) = 0.07(S) + 5000.

You say?
 
  • Like
Likes   Reactions: Delta2
Physics news on Phys.org
You should also practice checking your results. That is a very, very important skill. If your answer matches every statement of the problem, then it is valid.
You should start to show some work to check and ask for help if you get stuck.
 
  • Like
Likes   Reactions: nycmathguy
FactChecker said:
You should also practice checking your results. That is a very, very important skill. If your answer matches every statement of the problem, then it is valid.
You should start to show some work to check and ask for help if you get stuck.
Strongly agree...
 
  • Like
Likes   Reactions: nycmathguy
FactChecker said:
You should also practice checking your results.
One feature of the study of mathematics that I appreciated was that, for many types of problems, you don't need the approval of experts to verify that you are on the right track. Pretty much any type of problem in which a solution is called for can be checked to verify that solution, all the way from the simplest linear equations (as in this problem) up to the solutions of systems of differential equations.
 
  • Like
Likes   Reactions: nycmathguy and FactChecker