Question

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

Answer 1

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

Answer 2

• 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