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  • I'm sorry I was away for a little bit, can you continue your explanation now?
  • Sure ma'am! No worries
  • Before we solve our problem we should make it into a quadratic equation first, so it becomes x^2 - 80x +1500=0
  • If we substitute 50 and 30 to our quadratic inequality earlier, both of them are false meaning both roots are not a solution.
  • The quadratic inequality that we should use to represent our problem is x^2 - 80x +1500<0
  • Since both roots are false we will then find the closest integers to the roots. In this case we will use 29,31,51
  • Then we use the quadratic formula and we should get 50 and 30.
  • When we substitute 31 into our quadratic inequality, the result would be true .
  • Because of these, we came up with this solution: (30<x>50)
  • When we substitute 29 into our quadratic inequality, the result would be false.
  • When we substitute 51 into our quadratic inequality, the result would be false.
  • Wow! What a brilliant solution, now we could solve our problem. Thanks to you!
  • Don't worry about it ma'am. It's no big deal.
  • Hmmm, what do you want to have as a reward?
  • It's not needed ma'am. It's my pleasure to help you and the company.
  • Oh no, I insist how about a dinner later?
  • Sure ma'am, I'll think about it.
  • Is she asking me out on a date? Oh no you should calm yourself she's your boss!
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