The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=10x+900, where x is the number of rides. it costs $25 per ride. how many rides does it take to break even?

Answer

As per the statement:

The cost function is given by

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;

For break even:-

The cost must be equal to the Revenue i.,e

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.

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