Question

Awnser the question below A sales amount of ______ will result in the two options having the same weekly salary

Answer 1

Variables

y: salary, in dollars

x: sales made, in dollars

If the sales made are x dollars, then the 4% of this is computed as follows:

`x\cdot(4)/(100)=x\cdot0.04=0.04x`

Similarly, the 7.5% of the sales are:

`x\cdot(7.5)/(100)=0.075x`

In the first case, the base salary is $400. Adding the 4% in commissions, the salary is:

y = 400 + 0.04x

Similarly, with a base salary of $100 and a commission of 7.5%, the salary is:

y = 100 + 0.075x

If both salaries are the same:

400 + 0.04x = 100 + 0.075x

400 - 100 = 0.075x - 0.04x

300 = 0.035x

300/0.035 = x

8571.43 = x

A sales amount of $8571.43 will result in the two options having the same weekly salary