Chapter 5.5, Problem 33E

To determine

The number of guests in which the total costs being same at both the companies.

Answer to Problem 33E

The point of intersection is (75, 2000). Thus, solution of equation is $x=75$

Explanation of Solution

Given information:

Company A charges $500 plus $20 per guest

Company B charges $800 plus $16 per guest

Formula used:

The graph represents x-axis which is the horizontal axis and y axis is the vertical axis.

Calculation:

Let x be number of guests. We need to find x such that total costs are same at both companies, i.e.

  $500+20x=800+16x$

To solve graphically, we can write the above equation as following system of equations:

  $\begin{array}{l}y=500+20x\\ y=800+16x\end{array}$

  $y=500+20x$ is plotted in blue colour and $y=800+16x$ is plotted in green colour.

The point of intersection is (75, 2000). Thus, solution of equation is $x=75$

  

Conclusion:

The point of intersection is (75, 2000). Thus, solution of equation is $x=75$