The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=12x+900, where x is the number of rides. it costs $37 per ride. how many rides does it take to break even?

The number of rides to be taken in order to break even is:

36

Step-by-step explanation:

The cost  c (in dollars) for the fuel and maintenance of a go-cart is given by:

               c=12x+900,  where x is the number of rides.

Now it is given that it cost $ 37 per ride.

Let x rides were taken so, the cost is given as:

c= 37x

Now, to break even we need to find the point of intersection of the cost.

i.e.

Hence, in order to break even the number of rides needs to be taken are:

36