Answer
As per the statement:
The cost function is given by
[tex]c(x) = 10x+900[/tex]
where
x represents the number of rides
c(x) represents the total cost including the fixed cost.
It is also given that it costs $25 per ride.
so,
Revenue function for x number of rides be;
[tex]R(x) = 25x[/tex]
For break even:-
The cost must be equal to the Revenue i.,e
[tex]c(x) = R(x)[/tex]
[tex]10x+900 = 25x[/tex]
Subtract 10x from both sides we have;
900 = 15x
Divide both sides by 15 we get;
60 = x
or
x = 60
Therefore, 60 rides does it take to break even.
