Write A Linear Equation for Monthly Salary + Commission

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Homework Help Overview

The discussion revolves around formulating a linear equation for a pharmaceutical salesperson's monthly wage based on a fixed salary and a commission structure. The subject area is algebra, specifically linear equations.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to express the monthly wage W as a function of monthly sales S, proposing the equation W(S) = 0.07(S) + 5000. Some participants express agreement with this formulation, while others emphasize the importance of verifying results and checking work.

Discussion Status

The discussion includes multiple affirmations of the proposed equation, alongside suggestions to practice result verification and checking work for accuracy. While there is agreement on the equation, the emphasis on checking results indicates an ongoing exploration of the topic.

Contextual Notes

Participants highlight the importance of ensuring that the proposed solution aligns with the problem's statements, indicating a focus on validating mathematical reasoning.

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?
 
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I agree.
 
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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.
 
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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...
 
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me too
 
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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.
 
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Thank you everyone.
 

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