SOLUTION: A real estate agent receives a salary of 10000 plus 3% of her total sales for the year. Total sales, s and income, i. Write an equation that expresses the agents salary. Use equati

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Question 1091893: A real estate agent receives a salary of 10000 plus 3% of her total sales for the year. Total sales, s and income, i. Write an equation that expresses the agents salary. Use equation to determine what annual sales result in salaries between 16000 and 22000 for the year. Graph. Calculate the increase in agents Salary if her sales increases from 500000 to 700000.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
i, finished salary for the year
s, amount of sales for the agent
i=%283%2F100%29s%2B10000
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%283%2F100%29s%2B10000=i
%283%2F100%29s=i-10000
s=%28i-10000%29%28100%2F3%29


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determine what annual sales result in salaries between 16000 and 22000 for the year.
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s runs from 200000 to 400000 dollars in sales.

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!

(1) In algebra, we usually want to write expressions involving both a variable term and a constant term with the variable term first. That is, we usually want to write "3x+5" instead of "5+3x". That is simply to make operations involving that expression easier.

However, in a case like this, it might make it easier to understand what we are doing if we write her base salary first, and then ADD the ADDitional income she gets from sales. So I would write the equation for her salary as
i+=+10000+%2B+0.03s

(2) To find the amount of sales that results in a particular income, substitute the desired income for i in the equation and solve for s. For an income of 16000,

16000+=+10000+%2B+0.03s
6000+=+0.03s
s+=+6000%2F0.03+=+200000

She needs 200000 in sales to earn an income of 16000.

For an income of 22000,

22000+=+10000+%2B+0.03s

12000+=+0.03s
s+=+12000%2F0.03+=+400000

She needs 400000 in sales to earn an income of 22000.

(3) If her sales increase from 500000 to 700000, her base salary stays the same; the increase in her income is only from the additional sales. The additional sales are 200000; and she gets 3% of her sales, so her additional income due to the additional sales is
.03%28200000%29+=+6000