Question

Suppose x is the number of books purchased and f(x) is the shipping price for one order of books. Write a function for f(x) and explain the value of f(x) for x = 0. (5 points)

Answer 1

See Explanation

Explanation:

The question is incomplete, as there are no resources to help calculate the required equation.

The general explanation is as follows:

Pick any two points from the graph or table; assume the points are:

`(x_1, y_1) = (2, 10)`

`(x_2, y_2) = (5, 16)`

Next, calculate the slope (m)

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (16-10)/(5-2)`

`m = (6)/(3)`

`m =2`

Next, calculate the equation using:

`f(x) = m(x - x_1) + y_1`

This gives:

`f(x) = 2(x - 2) + 10`

Open bracket

`f(x) = 2x - 4 + 10`

`f(x) = 2x +6`

When x = 0, we have:

`f(0) = 2*0 +6`

`f(0) = 0 +6`

`f(0) = 6`

The above means that the shipping fee is #6