Final answer:
Lorena Fraser's total sales for the month can be found by solving the equation for her gross pay, which is her base salary plus commission on total sales. The correct total sales amount, calculated from her gross pay of $2,501.22 and her base salary of $1,350, is approximately $25,875.06.
Step-by-step explanation:
To calculate Lorena Fraser's total sales for the month, we need to set up an equation. Her gross pay is composed of her base salary plus her commission from sales. Let's designate her total sales as x. Lorena’s total earnings can be formulated as her base salary ($1,350) plus her commission rate (4.45%) times her total sales (x). This is equal to her gross pay, which is $2,501.22.
The equation to illustrate this scenario is: $1,350 + (4.45/100) × x = $2,501.22. To find the total sales, we solve this equation for x.
Now, we isolate x:
- (4.45/100) × x = $2,501.22 - $1,350
- × x = $1,151.22 / (4.45/100)
- x = $1,151.22 / 0.0445
- x = $25,875.06
Therefore, Lorena's total sales for the month are $25,875.06, which is not exactly any of the options listed (a-d). If we account for potential rounding during the process, she may have hit approximately option (a) assuming that slight differences could be due to rounding errors in the final computation.