A store 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.

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

P (x) = x*0.7*0.85=x*0.595

Step-by-step explanation:

from the 100% of the price, they make a 30 % discount, then the customers pay 70%. Then when the store takes off an additional 15 % off at the cash register, the costumers pay the 85% of the 70% they had to pay.

P (x) = x*0.7*0.85=x*0.595

then the total discount is 40.5%.