
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:
y=500+20xy=800+16x
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
Chapter 5 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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