A salesperson's total earnings consist of a… | ClassNotes
MM
Mashaal Masha
Mar 24, 2024
A salesperson's total earnings consist of a base salary of $\bm{x}$ dollars per year, plus commission earnings of 11% of the total sales the salesperson makes during the year. This year, the salesperson has a goal for the total earnings to be at least 3 times and at most 4 times the base salary. Which of the following inequalities represents all possible values of total sales $\bm{s}$, in dollars, the salesperson can make this year in order to meet that goal?
Difficulty: Hard
A:
$2\bm{x} \leq s \leq 3\bm{x}$
B:
$\frac{2}{0.11}\bm{x} \leq s \leq \frac{3}{0.11}\bm{x}$
C:
$3\bm{x} \leq s \leq 4\bm{x}$
D:
$\frac{3}{0.11}\bm{x} \leq s \leq \frac{4}{0.11}\bm{x}$
