Martha works as a salesperson for momentum sales. she earns $1,000 per month plus 15% commission on her sales.
a. write an equation that expresses t, her income for one month as a function of x, her total sales for the month.
b. River City Sales, another company in the same town, has offered Martha a job that will pay her $500 per month plus 20% commission on her sales. Explain why Martha should or should not accpet the job at River CIty Sales. Support your answer by finding x, the average total sales for the month she would need to at least equal her present income at Momentum Sales.
Why are you calling this a geometry question? It looks like business math, or algebra.
Momentum Sales: t = .15x + 1000
River City Sales : t = .20x + 500
Set the two right sides of the above equations equal to each other and solve for x, you should get x = 10,000
That will give you the sales she needs to make the same money.
Draw your conclusion by substituting a value of x less than that, and a value of x greater than that in those two equations.
I guess you called your question "Geometry" because they want you to graph your two equations.
a. To express Martha's income (t) for one month as a function of her total sales (x), we can use the equation:
t = 1000 + 0.15x
In this equation, 1000 represents her base salary of $1,000 per month, and 0.15x represents her 15% commission on her sales.
b. To determine whether Martha should accept the job at River City Sales, we need to compare her potential income at that company to her current income at Momentum Sales.
At River City Sales, her monthly income (t) is given by the equation:
t = 500 + 0.20x
In this equation, 500 represents her base salary of $500 per month, and 0.20x represents her 20% commission on her sales.
To determine whether she should accept the job, we need to find the value of x where her income at River City Sales is at least equal to her income at Momentum Sales. Let's set the two equations equal to each other:
1000 + 0.15x = 500 + 0.20x
Rearranging the equation, we get:
0.15x - 0.20x = 500 - 1000
Simplifying further:
-0.05x = -500
Dividing both sides by -0.05:
x = -500 / -0.05
x = 10,000
So, Martha would need to have average total sales of $10,000 per month at River City Sales to at least equal her present income at Momentum Sales. Whether she should accept the job or not depends on factors such as the potential for higher sales and the overall job satisfaction offered by River City Sales.