The cost cc (in dollars) for the fuel and maintenance of a go-cart is given by c=10x+900c=10x+900, where xx is the number of rides. It costs $25 per ride. How many rides does it take to break even?
break-even is when cost = revenue. So, you need
10x+900 = 25x
To find out how many rides it takes to break even, we need to set the cost (c) equal to the revenue (R). In this case, the cost is the sum of the fuel and maintenance cost (10x + 900), and the revenue per ride is $25.
Setting the cost equal to the revenue, we have:
10x + 900 = 25x
Now, we can solve for x by isolating the variable:
900 = 25x - 10x
900 = 15x
Dividing both sides by 15:
x = 900 / 15
x = 60
Therefore, it takes 60 rides to break even.