Question

Need help asap!!! Problem: A college bookstore charges $60 for a semester membership. The first book is free with

the membership and any book after that costs $27.60 including tax.
Complete items 1-5 below. Be sure to show/explain all of your work using the template provided. You
will be scored using the performance task rubric.
1. Define a variable.
2. Write a function using function notation.
3. Generate an input/output table with at least 5 values (show all work).
4. State the domain and range of the function.
5. Tara has to buy four books for her spring classes. The original prices of the books
are $32.95, $76.72, $21.19, and $43.11. Should she purchase the membership OR is it cheaper
to buy the books at the original cost?

Answer 1

The answers are given below.

Explanation:

1. Let "x" books are bought from the college bookstore.

2. If "f(x)" denotes the total cost of "x" books bought from the college bookstore. Then, according to the question,

f(x) = $
`(60 + 27.60 * (x - 1))` -------------(1)

3. We can construct the following table,

x f(x)

1 $ 60

2 $ 87.60

3 $ 115.20

4 $ 142.80

5 $ 170.40

4, Domain of the function is N and range of the function is

S = {f(x) | f(x) = $
`(60 + 27.60 * (x - 1))`, x ∈ N} ⊂
`R_(1)`

5. If Tara buys all the books, she needs to pay, a total of

$ (32.95 + 76.72 + 21.19 + 43.11)

= $ 173.97

whereas, if she purchase the membership of the college bookstore and buys books from there, she needs to pay $ 142.80 only (from the table).Hence, she should purchase the membership.