Answer
As per the statement:
The cost function is given by
\(c(x) = 10x+900\)
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;
\(R(x) = 25x\)
For break even:-
The cost must be equal to the Revenue i.,e
\(c(x) = R(x)\)
\(10x+900 = 25x\)
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.
