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

168

step-by-step explanation:

i am pretty sure that the answer is 168

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is