At Danielle’s clothing boutique, if an
item does not sell for eight weeks, she marks it down by 15%. If it remains
unsold after that, she marks it down an additional 5% each week until she
can no longer make a profit. Then she donates it to charity.
Rafael wants to buy a coat originally priced $150, but he can’t afford more
than $110. If Danielle paid $100 for the coat, during which week(s) could
Rafael buy the coat within his budget? Justify your answer.

Question

At Danielle’s clothing boutique, if an
item does not sell for eight weeks, she marks it down by 15%. If it remains
unsold after that, she marks it down an additional 5% each week until she
can no longer make a profit. Then she donates it to charity.
 Rafael wants to buy a coat originally priced $150, but he can’t afford more
than $110. If Danielle paid $100 for the coat, during which week(s) could
Rafael buy the coat within his budget? Justify your answer.