Write A Linear Equation for Monthly Salary + Commission

AI Thread Summary
The discussion focuses on deriving a linear equation for a pharmaceutical salesperson's monthly wage, which consists of a fixed salary and a commission based on sales. The equation presented is W(S) = 0.07(S) + 5000, where W represents the monthly wage and S represents monthly sales. Participants emphasize the importance of verifying results to ensure the solution aligns with the problem's statements. They encourage practicing problem-solving skills and seeking help when needed. The conversation highlights the self-verifying nature of mathematical solutions, reinforcing the value of checking one's work.
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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