## Algebra 1

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Lesson Check - Page 363: 5

#### Answer

The point of intersection is (4,48) which means that an order of 4 tickets will have the same total cost when ordering online or at the door.

#### Work Step by Step

$(a)$ Ordering online, the cost is 10dollar $\times$ t $+$ 8dollar a service charge. The equation for online order is $c = 10t + 8$ Buying at the door will cost 12dollar $\times$ t The equation for Buying at the door is $c= 12t$ The System of equation is $c = 10t + 8$ $c = 12t$ $(b)$ The Graph will be$:$

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