Question

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?

Answer 1

just sub in x

C=15(35)+760
C= 525+760
C=1285

Answer 2

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

36

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.

`12x+900=37x\\\\37x-12x=900\\\\25x=900\\\\Now\ on\ dividing\ both\ side\ of\ the\ equation\ by\ 25\ we\ get:\\x=36`

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

36