a) The piecewise function is:
b) Applying the piecewise function, it is found that it will cost $40.
A <u>piecewise function</u> is a function that has different definitions based on the input.
Item a:
- <u>20 or fewer cups</u>, fixed cost of $12 for shipping plus $1.40 per cup. Thus, the <em>first definition</em> of the function for the cost of n cups is:
- For <u>more than 20 cups</u>, price of $1.1 per cup plus a shipping and handling fee of $15. Then:
Then, the piece-wise function is:
Item b:
- The cost of 20 cups is C(20).
- It is the first definition, which is valid for
.
Then:
It will cost $40.
A similar problem is given at brainly.com/question/24815096