Write A Linear Equation for Monthly Salary + Commission

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SUMMARY

The linear equation for a pharmaceutical salesperson's monthly wage W, based on their monthly sales S, is defined as W(S) = 0.07(S) + 5000. This equation incorporates a fixed monthly salary of $5000 and a commission rate of 7% on sales. Participants emphasized the importance of verifying results against the problem statements to ensure validity. Engaging in practice and seeking help when needed were also highlighted as essential skills in solving mathematical problems.

PREREQUISITES
  • Understanding of linear equations
  • Basic knowledge of percentages and commission calculations
  • Familiarity with algebraic expressions
  • Ability to verify mathematical solutions
NEXT STEPS
  • Practice writing linear equations for different commission structures
  • Learn about the implications of fixed versus variable compensation in sales
  • Explore methods for verifying mathematical solutions
  • Study the application of linear equations in real-world financial scenarios
USEFUL FOR

Sales professionals, mathematics students, educators teaching algebra, and anyone interested in understanding compensation structures in sales roles.

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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