A bus transports people from an airport to a city centre. It transports 800
people a day at a cost of €5.50 per person. Research has shown that for
every decrease of €0.05 in the fare, 10 more people will ride the bus.
Suppose there have been x decreases of €0.05 below the initial cost of
€5.50.
a
b
Find an expression, in terms of x, for the bus fare.
Find an expression, in terms of x, for the number of people who ride
the bus in a day.
c
Find an expression, in terms of x, for the daily revenue generated by
people riding the bus.
d
Find the number of fare decreases that result in a revenue of €4500.
e Find an appropriate domain for this context.