Question 276790
A caterer charges a fixed cost for each person served.
 You know the cost for 100 will be $750 and the cost for 150 will be $1050.
 Find the caterer's fixed cost and the cost per student served.
:
Assign the given values as follows:
x1=100, y1=750
x2=150, y2=1050
:
Find the slope: m = {{{(y2-y1)/(x2-x1)}}}
:
m = {{{(1050-750)/(150-100)}}} = {{{(300)/(50)}}} = 6 is the slope
:
Find the equation: y - y1 = m(x - x1)
y - 750 = 6(x - 100)
y - 750 = 6x - 600
y = 6x - 600 + 750
y = 6x + 150, the equation
:
From this we know the cost per student = $6, the fixed cost $150