Question

Indiana plans to purchase a new gaming system during the 15% off sale. Let c represent the cost of the gaming system. How can you write a function to represent this?

Indiana also knows that he will have to pay the state tax of 10% on his purchase (after the discount is taken). Let p represent the price. How can he write a function to represent this?

Write one single function to help Indiana know how to calculate the final cost.

Answer 1

p(c) = 0.935c

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Cost is c and sale price is p.

After 15% off the price is:

• p(c) = (100% - 15%) of c = 85% of c = 0.85c

Add 10% state tax:

• p(c) = (100% + 10%) of 0.85c = 110% of 0.85c = 1.1*0.85c = 0.935c