Question

c(x)={44. when x <_ 344+5.50(x-3) when > 3A) Find the cost of the two-line ad.B) Find the difference in cost between a one-line ad and a three line ad.C)Find the cost of an eight-line ad.D) Graph this function on your paper E) find the coordinates of the cusp from the graph in part D

Answer 1

A.

In order to calculate the cost of the two-line ad, let's use the value of x = 2 in the function, therefore let's choose the first part of the piecewise function:

`\begin{gathered} c(x)=44 \\ c(2)=44 \end{gathered}`

So the cost is $44

B.

Using x = 1 and x = 3, and then calculating the difference of c(1) and c(3), we have:

`\begin{gathered} c(x)=44 \\ c(1)=44 \\ \\ c(x)=44 \\ c(3)=44 \\ \\ c(1)-c(3)=44-44=0 \end{gathered}`

C.

Using x = 8, we need to use the second part of the piecewise function:

`\begin{gathered} c(x)=44+5.5(x-3) \\ c(8)=44+5.5(8-3) \\ c(8)=44+5.5\cdot5 \\ c(8)=44+27.5 \\ c(8)=71.5 \end{gathered}`

D.

Graphing the function, we have:

E.

The transition occurs at x = 3, and the cost is 44 at this point, so the coordinates are (3, 44).