Solution:
The expression to Michael earnings is:
[tex]b + (c \times s)[/tex]
Where,
b is the base salary, which is $ 900 in this sum
c is the commission rate
Given that commission rate is 5%
s is the sales
Michael must have to earn at least $2500 in a month
Here, at least means, "greater than or equal to" 2500
The inequality is framed as:
base salary + 5 % on sales [tex]\geq[/tex] 2500
[tex]900 + \frac{5}{100} \times s \geq 2500\\\\\ 900 + 0.05s\geq 2500[/tex]
Solve the inequality
[tex]0.05s\geq 2500-900\\\\0.05s \geq 1600\\\\Divide\ both\ sides\ by\ 0.05\\\\s\geq 32000[/tex]
Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
