Chapter 6.1, Problem 5LC

a.

To determine

To write: a system of equations according to the given situation.

Answer to Problem 5LC

  $\begin{array}{l}c=10t+8\\ c=12t\end{array}$

Explanation of Solution

Let the total cost to buy concert tickets be $c$

Let number of tickets be $t$

If we buy the tickets online we have to pay $10 for each ticket and a service charge of $8 per order at a time.

Then if we are buying $t$ tickets then we have to pay = $10t+8$ .

The relevant equation according to the above situation is $c=10t+8$

Now if we are buying tickets going at the door on the night of concert we have to pay $12 for each ticket and no extra charges.

Then the total cost of buying $t$ tickets is = $12t$

And the relevant equation is $c=12t$

Hence the required equations are

  $\begin{array}{l}c=10t+8\\ c=12t\end{array}$

b.

To determine

To graph: the above found equations in part (a) and find their intersection point.

Answer to Problem 5LC

(4, 48)

Explanation of Solution

Given information: two equations are given as follows-

  $\begin{array}{l}c=10t+8\\ c=12t\end{array}$

Graph:

  

Interpretation: in the above figure the point of intersection is (4, 48). This means the cost is same whether we buy 4 tickets for a cost of $48 online or at the door.