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

Algebra.Com
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)   (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 and the second option "Salary of $2420 per month, plus 6% of monthly sales" translates to the equation


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:





Subtract from both sides.


Subtract 1950 from both sides.


Combine like terms on the left side.


Combine like terms on the right side.


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

RELATED QUESTIONS

How would I solve this? Casey is a salesperson who must decide between two monthly... (answered by nerdybill,jojo14344)
Lee is a salesperson who must decide between two monthly income options: Option A:... (answered by jojo14344)
1. Marika is a salesperson who must decide between two monthly income options: Option... (answered by stanbon)
Hope someone can help me with these a. Marika is a salesperson who must decide... (answered by stanbon)
As a salesperson at Russell's Furniture, Abdul has a choice between two options for... (answered by mananth)
a salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality... (answered by ewatrrr)
An insurance salesperson earns a salary of $1,200 per month plus a commission of 3% of... (answered by vleith,stanbon)
A new car salesperson is paid a monthly salary of $500 plus a commission of 5% of all the (answered by josmiceli,stanbon)
A certain college offers students two monthly options for local telephone service.... (answered by Fombitz)