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?
To find the number of rides it takes to break even, we need to determine when the cost of the rides equals the cost of the fuel and maintenance expressed by the equation c = 10x + 900.
First, let's express the cost of each ride in terms of x. We are given that the cost is $25 per ride, so the cost for x rides would be 25x.
Setting the cost of the rides equal to the cost of fuel and maintenance, we have:
25x = 10x + 900
To solve for x, we can subtract 10x from both sides of the equation:
25x - 10x = 900
Combining like terms, we get:
15x = 900
Finally, to isolate x, we divide both sides of the equation by 15:
x = 900 / 15
Simplifying the right side, we find:
x = 60
Therefore, it will take 60 rides to break even.
break even when cost = income
10x+900 = 25x