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)

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Answer:

See Explanation

Step-by-step 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:

[tex](x_1, y_1) = (2, 10)[/tex]

[tex](x_2, y_2) = (5, 16)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{16-10}{5-2}[/tex]

[tex]m = \frac{6}{3}[/tex]

[tex]m =2[/tex]

Next, calculate the equation using:

[tex]f(x) = m(x - x_1) + y_1[/tex]

This gives:

[tex]f(x) = 2(x - 2) + 10[/tex]

Open bracket

[tex]f(x) = 2x - 4 + 10[/tex]

[tex]f(x) = 2x +6[/tex]

When x = 0, we have:

[tex]f(0) = 2*0 +6[/tex]

[tex]f(0) = 0 +6[/tex]

[tex]f(0) = 6[/tex]

The above means that the shipping fee is #6