A new employee at a sales company is offered one of three different possible salary packages, A, B and C. The new employee will work 15 hours per week.
Package A: $105 for the 15 hours of work each week.
Package B: $60 plus a commission of 8% of all sales during the week.
Package C: 12% commission of all sales during the week.
Let X represent the dollar amount of sale s during the week and S represent the weekly salary, write linear equations for each salary package. These equations should express the salary as a function of the number of sales.
A: s = 105
B: s = 60 + .08x
C: s = .12x
To write the linear equations for each salary package, we need to express the salary as a function of the number of sales.
Package A: The salary for Package A is $105 for the 15 hours of work each week. Since it doesn't depend on sales, the equation for Package A is simply:
S = $105
Package B: The salary for Package B is $60 plus a commission of 8% of all sales during the week. So the equation for Package B is:
S = $60 + 0.08X
Package C: The salary for Package C is a 12% commission of all sales during the week. So the equation for Package C is:
S = 0.12X
In these equations, S represents the weekly salary and X represents the dollar amount of sales during the week.