The cost cc (in dollars) for the fuel and maintenance of a go-cart is given by c=10x+1200c=10x+1200, where xx is the number of rides. It costs $40 per ride. How many rides does it take to break even?
break-even is when cost = revenue
revenue = price * quantity. So, you need
10x+1200 = 40x
To find the number of rides it takes to break even, we need to find the value of x that makes the cost (c) equal to the revenue.
The revenue per ride is given as $40, so the revenue for x number of rides is 40x.
The cost equation is given as c = 10x + 1200.
To find the break-even point, we set the cost equal to the revenue:
10x + 1200 = 40x
Now, we can solve for x:
Subtract 10x from both sides:
1200 = 30x
Divide both sides by 30:
x = 1200 / 30
x = 40
Therefore, it takes 40 rides to break even.