A store is offering a 15% discount on all items. Also, employees get a 20% employee discount. Write a composite function to model taking the 15% discount and then the 20% discount.(1 point)
Let the original price of an item be x.
The first discount of 15% can be calculated as:
0.15x
After the first discount, the price becomes:
x - 0.15x = 0.85x
The second discount of 20% can be calculated as:
0.20(0.85x) = 0.17x
Therefore, the composite function to model taking the 15% discount first and then the 20% discount would be:
f(x) = 0.85x - 0.17x = 0.68x