Chapter 4.7, Problem 35E

To determine

To calculate: Draw the graph and find the total cost of league.

Answer to Problem 35E

The Total cost of league is $300.

Explanation of Solution

Given information: In question, it is given that cost of first five team members is $180.and after each additional team member cost is $30.We has to make Nine team members.

  $f(x)=\{\begin{array}{l}\text{180 }ifx=5\\ \text{210 }if\text{ 5}<x\le 6\\ \text{240 }if\text{ 6}<x\le 7\\ \text{270 }if\text{ 7}<x\le 8\\ 300if8<x\le 9\end{array}$

Calculation:

The cost of first five team members is $180, and each additional team member cost is $30.Hence total cost of Nine team members is $180+4\ast 30=300$.We can understand through graph also.

Graph: Here $x-axis$ represents cost of team members, $y-axis$ represents number of people(p).

  

Interpretation: Observe the graph carefully, at $x=5$ value is $\text{180}$ , and in between $\text{5}<x\le 6$ value is $\text{210}$ .and in between $\text{6}<x\le 7$ value is $\text{240}$.And in between $8<x\le 9$ value is $300$

Thus, the correct answer is $300.