Astore offers customers a 30 % discount on the price x of selected items. then, the store takes off an additional 15 % off at the cash register. write a price function p ( x ) that computes the final price of the item in terms of the original price x .

The price function expressed in terms of x, after the two discount of 30% and 15% is 0.595x

Price after first discount = (100% of x) - (30% of x)

Price after first discount = x - 0.3x = 0.7x

Second discount :

Price after second discount = 0.7x - (0.15 × 0.7x)

Price after second discount = 0.7x - 0.105x = 0.595x

Therefore, the price function, P(x) = 0.595x

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P(x) = 0.595x

Step-by-step explanation:

A store offers customers a a 30% discount on the price x of an item.

Therefore, after 30% discount selling price of the item = [x - (30% of x)]

= (x - 0.30x)

= 0.70x

Then the store takes off an additional 15% off on the same item then the final selling price of the given item will be = 0.70x - (15% of 0.70x)

= (0.70x - 0.105x)

= 0.595x

And the function that represents the final selling price will be

P(x) = 0.595x