Red Rose Banquet vs. Elite Banquet
A Comparison Between the Costs at Two Popular Banquet Halls
Time to Party!!
Equations in y = mx+b form
Let "C" represent the total cost.
Red Rose Convention Center:
C = 35p + 625
Elite Banquet Hall:
C = 50p + 550
Table for Red Rose Convention Center
Table for Elite Banquet Hall
Blue point = Red Rose Convention Center
Solving the linear system
35x + 625 = 50x +550
Next, bring the variables on one side and numbers on the other.
35x - 50x = 550 - 625
Solve for both sides.
-15x = -75
Divide both sides by -15, to find x.
-15x / -15 = -75 / -15
x = 5
To find y, substitute x as five for one of the equations.
y = 50 (5) + 550
y = 250 + 550
y = 800
Therefor, the point of intersection for the two lines is (5,800).