anonymous
  • anonymous
Function Word Problem The basement of a large department store features discounted merchandise. Their policy is to reduce the previous month's price of the item by 8% each month for 6 months, and then give the unsold items to charity.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
i assume you're writing the rest of the question now, haha
anonymous
  • anonymous
Let S6 be the sale price for the sixth month and P the original price. Express S6 as a function of P
anonymous
  • anonymous
Yeah sorry @Omistone

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anonymous
  • anonymous
no worries, lemme write this out in my book so i can try to understand it a little clearer.
anonymous
  • anonymous
okay
anonymous
  • anonymous
and then it says What is the final price of a $100 garment on sale for the sixth month? Round your answer to two decimal places.
anonymous
  • anonymous
ok, so if we let P = the original price, and we know that the price decreases each month by 8% of the previous price, the price for any given month, n, can best be expressed as a geometric progression: \[S _{n} = P \times 0.92^{n-1} \] the reason we multiply by 0.92 is because 100% - 8% (for the discount) is 92% (0.92 in decimal form. so we simply let n = 6 \[S _{6} = P \times 0.904\]
anonymous
  • anonymous
oh, right i didn't see your last post before i posted all that working out, but it should be easy enough for you to round it.
anonymous
  • anonymous
so then , you just substitute in 100 for P in the equation and you will have your answer. I hope this helps, be sure to let me know if you don't understand anything.
anonymous
  • anonymous
I think I understand it. Thank you
anonymous
  • anonymous
S6=P×0.904 = 100 x 0.90 = 90 so the item would be $90 after 6 months
anonymous
  • anonymous
no worries
anonymous
  • anonymous
where does the minus 1 come from in \[0.92^n -1 \] @Omistone
anonymous
  • anonymous
By what total percentage has the garment now been reduced from its original price? Round your answer to two decimal places.
anonymous
  • anonymous
would the answer to the last one be 10% @Omistone

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