Question

Sharon earns $25 per item she sells plus a base salary of $100 per week. write and solve an inequality to find how many items she must sell to earn at least $700 per week . provide your conclusion as a complete sentence.

Answer 1

Sharon earns $25 per item. This means that this number is increasing with each item sold, then you will have a variable with this number, such as 'x'.

Plus a base salary of $100 per week. This means that this number is always true for each week and will not change when looking at a weekly perspective.

How many items must she sell to earn at least $700 per week. This is the end goal or even slightly over $700.

To set it up:

25x + 100 ≥ 700

To solve:

25 x + 100 ≥ 700
         - 100   -100
______________
25x            ≥  600
___                ___
25                    25
_______________
     x           ≥     24

Interpret:

Sharon must sell at least 24 items.