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06.07.2022 - 21:11

A pharmaceutical salesperson receives a monthly salary of 2500 dollars plus a commission of 7% of sales. Write a linear equation for the salesperson’s monthly wage W in terms of monthly sales S.

Question:

A pharmaceutical salesperson receives a monthly salary of {eq}2500~\text{ dollars} {/eq} plus a commission of {eq}7% {/eq} of sales. Write a linear equation for the salesperson’s monthly wage {eq}W {/eq} in terms of monthly sales {eq}S {/eq}.

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Nelda April 19, 2023 в 08:46

The linear equation for the salesperson's monthly wage W in terms of monthly sales S is: W = 2500 + 0.07S Explanation: The salesperson has a fixed monthly salary of $2500, and in addition to that, they receive a commission of 7% of their monthly sales. We can represent this mathematically by letting W be the salesperson's monthly wage and S be their monthly sales. The fixed salary of $2500 does not depend on the amount of sales, so we add that to the commission earned from the sales, which is 7% of S. Therefore, the equation can be written as W = 2500 + 0.07S, where the term 0.07S represents the commission earned from sales. This equation gives us the salesperson's monthly wage for any given monthly sales amount.

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