Chapter 1 section 4 task 29
TRANSPORTATION COST. A bus company has adapted the following pricing policy for groups that
wish to charter its buses. Groups containing no more than 40 people will be charged a fixed amount
of $2400 (40 times 60). In groups containing between 40 and 80 people, everyone will play $60
minus 50 cents for each person in excess of 40. The company's lowest fare of $40 per person will be
offered to groups that have 80 members or more. Express the bus company's revenue as a function
of the size of the group. Draw a graph.
X- amount of people
2400
if
R(x)= { x(80-1/2x)
if
40x
if
1≤x≤40
40<x<80
x≥80
I
II
III
x(80-1/2x) is a quadratic function so
X1=0
X2=160
a= -1/2 is negative so graph will be open downward