A machinery sales rep receives a fixed salary plus a sales commission each month. If 6200 is earned on sales of 70000 in one month and 4700 is earned on sales of 45000 in the following month, what are the fixed salary and the commission percent.
I need this set up as two functions if you can figure this out please show me how you got it.
I already tried dividing the $ earned by the sales for each month and i don't get an equal number
I need this set up as two functions if you can figure this out please show me how you got it.
I already tried dividing the $ earned by the sales for each month and i don't get an equal number
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Total pay (p) will be fixed salary (f) + sales times commission (c): p = f + (sales)*c. The two cases are
.. 6200 = f + 70000c
.. 4700 = f + 45000c
You can solve by subtracting the second equation from the first to get
.. 1500 = 25000c
.. 1500/25000 = c ... divide by the coefficient of c
.. 0.06 = c = 6%
The fixed salary can be found using either equation.
.. 6200 = f + 70000*0.06
.. 6200 = f + 4200 ... do the math
.. 2000 = f ... subtract 4200
The sales rep earns a fixed salary of 2000 per month plus 6% of sales.
.. 6200 = f + 70000c
.. 4700 = f + 45000c
You can solve by subtracting the second equation from the first to get
.. 1500 = 25000c
.. 1500/25000 = c ... divide by the coefficient of c
.. 0.06 = c = 6%
The fixed salary can be found using either equation.
.. 6200 = f + 70000*0.06
.. 6200 = f + 4200 ... do the math
.. 2000 = f ... subtract 4200
The sales rep earns a fixed salary of 2000 per month plus 6% of sales.