Question

HELP PLEASE!! A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining. Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.

Answer 1

Let's first define the variables:
 x = number of weeks.
 y = number of boxes after x weeks.
 We write the inequation that adapts to the problem
 y> -65x + 460
 For a number less than 100 boxes we have:
 100> -65x + 460
 We clear x:
 65x> -100 + 460
 65x> 360
 x> (360/65)
 x> 5.54
 Answer: 
 it will take more than 5.54 weeks for the warehouse to have less than 100 boxes