Question

Sharon earns $15 per item she sells plus a base salary of $75 per week write and solve an inequality to find out how many items she must sell to earn at least $750 per week provide your conclusion as a complete sentence

Answer 1

so 15 dollars per item plus 75 dollars a week is 15x + 75 where x is the number of items sold.

if she sells one item, x = 1 and she will make:

15 (1) + 75 = 90 dollars.

so that's not enough to get 750, you need more money. how? more x! how much more is enough though?

well 15x + 75 needs to = 750

so 15x + 75 = 750

move 75 over to the right and get

15x = 675

now divide both sides by 15

x = 45

so Sharon needs to sell a MINIMUM of 45 per week to earn at least 750 dollars.

saying minimum is important because the problem says at LEAST $750.