SOLUTION: 14. (7 pts) Casey is a salesperson who must decide between two monthly income options: Option A: Salary of $1950 per month, plus 10% of monthly sales or Option B: Salary of $2

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Question 150021: 14. (7 pts) Casey is a salesperson who must decide between two monthly income options:
Option A: Salary of $1950 per month, plus 10% of monthly sales
or Option B: Salary of $2420 per month, plus 6% of monthly sales
For what amount of monthly sales is Option A a better choice for Casey than Option B?
Show work. Write an appropriate inequality and solve it. Be sure to state the answer to the question.


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=amount of monthly sales.

So the first option "Salary of $1950 per month, plus 10% of monthly sales" translates to the equation y=0.1x%2B1950 and the second option "Salary of $2420 per month, plus 6% of monthly sales" translates to the equation y=0.06x%2B2420


So if you want to find out when option A is better than option B, simply set the left side of option A greater than the right side of option B like this:


0.1x%2B1950%3E0.06x%2B2420


0.1x%2B1950-0.06x%3E2420 Subtract 0.06x from both sides.


0.1x-0.06x%3E2420-1950 Subtract 1950 from both sides.


0.04x%3E2420-1950 Combine like terms on the left side.


0.04x%3E470 Combine like terms on the right side.


x%3E11750 Divide both sides by 0.04.


So if the amount of monthly sales is greater than $11,750, then option A is better than option B