write an inequality to go with the following word problem. Mandy's monthly earnings consist of a fixed salary of $2,800 and an 18% commission on all her monthly sales.What must Mandy's sales be if she needs to earn an income of $6,400 per month? Please also explain how you made this into an inequality

Question

anonymous · Answer

So she needs to make 6400 - 2800 = 3600 extra to get 6400 per month

we need to find 

sales at 18% = 3600

or 

(sales)0.18 = 3600

(sales) = 3600/0.18 = 20000

so she needs to make (sales) which is 20000

to make it into an equality note that she can earn 6,400 per month or GREATER

so she needs sales of 

$$sales \ge 20000$$

or if sales is s and commision is c in percentage, i is the income she needs and w is her current wage

$$s \ge \frac{ (100)(i - w) }{ c }$$