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A clothing store offers customers a holiday sale of 20% off the price of x items. A customer then has an additional 15% off coupon that can be used when checking out. Which of the following functions represents the final price P(x) of the items purchased?

P(x) = 0.68x
P(x) = 0.35x
P(x) = 0.05x
P(x) = 0.03x

User Adhocgeek
by
8.1k points

2 Answers

4 votes

Let original price of items be x

First discount is 20%

Then price will b


\\ \sf\longmapsto x-20\%\;of\:x


\\ \sf\longmapsto 80\%\:of\:x

Now additional discount is 15%


\\ \sf\longmapsto 80\%\:of\:x-80\%\:of\:x* 15\%


\\ \sf\longmapsto 0.8x-0.8x(0.15)


\\ \sf\longmapsto 0.8x-0.12x


\\ \sf\longmapsto 0.68x

Option A

User Belovoj
by
7.1k points
1 vote

Answer:

  • A. P(x) = 0.68x

Explanation:

Original price = x

Sale price = 20% off:

  • x - 20% =
  • x - 0.2x =
  • 0.8x

Further discount 15% off:

  • 0.8x - 15% =
  • 0.8x - 0.8x*0.15 =
  • 0.8x - 0.12x =
  • 0.68x

The function is:

  • P(x) = 0.68x

Correct choice is A

User Ocaj Nires
by
8.5k points

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