Question

e) Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x =

Answer 1

Given:
x = number of books purchased
f(x) = price of shipping one order of books
fixed fee = 3 per order
variable fee: 1.99 per book

f(x) = 3 + 1.99x

assuming the x = 3

f(3) = 3 + 1.99(3)
f(3) = 3 + 5.97
f(3) = 13.97

The shipping cost of 3 books is 13.97

Answer 2

For this case we have the following data:

A shipping fee of $ 1.99 is charged for each book sold.

There is a fixed fee of 3 dollars per order.

We must express the total cost by a function of the form $y = f (x)$.

If x represents the number of books sold, we have an expression of the form:

$f (x) = 1.99x + 3$

That is, according to the number of books sold, represented by x, a different value will be obtained for the total cost given by f (x). For example:

If 3 books are sold, we have:

$f (3) = 1.99 (3) +3\\f (3) = 5.97 + 3\\f (3) = 8.97$

Thus, the total cost of 3 books is 8.97 dollars.

Answer:

$f (x) = 1.99x + 3$