Chapter 4.1, Problem 45PPS

(a)

To determine

To calculate: The processing fee for booking tickets and find the linear equation.

Answer to Problem 45PPS

Therefore, $ $18$ is the processing fee and the linear equation is given as $76\times t+18=C$ .

Explanation of Solution

Given information: Cost of each tickets $=$ $76

and number of tickets ordered $=$ 5

Calculation: Let processing fee =$ $x$

The processing fee can be calculated as,

  $\begin{array}{l}\text{Cost of one ticket }\times \text{ number of tickets purchased + Processing fee= Total Cost of tickets}\\ 76\times 5+x=398\\ 380+x=398\\ x=18\end{array}$

The linear equation to represent the total cost $C$ for $t$ tickets.

  $\begin{array}{l}\text{Cost of one ticket }\times \text{ number of tickets purchased + Processing fee= Total Cost of tickets}\\ 76\times t+18=C\end{array}$

Therefore, $ $18$ is the processing fee and the linear equation is given as $76\times t+18=C$ .

(b)

To determine

To calculate:To make a table for the linear equation.

Answer to Problem 45PPS

Therefore, required table will be,

$t$	$C$
2	$ $170$
3	$ $246$
4	$ $322$

Explanation of Solution

Given information: Cost of each tickets $=$ $76

and processing fee $=$ $ $18$

Calculation: The table of values for atleast three other number of tickets,

  $\begin{array}{l}\text{Cost of one ticket }\times \text{ number of tickets purchased + Processing fee= Total Cost of tickets}\\ 76\times t+18=C\end{array}$

Table can be calculated as,

  $\begin{array}{l}\text{Putting }t=2\text{ we get,}\\ \text{76}\times \text{2+18=C}\\ \text{C=170}\\ \text{Putting }t=3\text{ we get,}\\ \text{76}\times 3\text{+18=C}\\ \text{C=246}\\ \text{Putting }t=4\text{ we get,}\\ \text{76}\times 4\text{+18=C}\\ \text{C=322}\end{array}$

Therefore, required table will be,

$t$	$C$
2	$ $170$
3	$ $246$
4	$ $322$

(c)

To determine

To calculate: The graph for the equation and predict the cost of 8 tickets.

Answer to Problem 45PPS

Therefore, cost of tickets is $ $626.$

Explanation of Solution

Given information: Cost of each tickets $=$ $76

and processing fee $=$ $ $18$

Calculation: The graph for the equation,

  $\begin{array}{l}\text{Cost of one ticket }\times \text{ number of tickets purchased + Processing fee= Total Cost of tickets}\\ 76\times t+18=C\end{array}$

  

The cost for 8 tickets will be,

  $\begin{array}{l}76\times t+18=C\\ 76\times 8+18=C\\ C=626\end{array}$

Therefore, cost of tickets is $ $626.$