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stich3 [128]
3 years ago
10

The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=10x+1200, where x is the number of rides. It cos

ts $40 per ride. How many rides does it take to break even?
Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer: it will take 40 rides to break even.

Step-by-step explanation:

Profit = Revenue - total cost

At the point of break even, there is no profit. It means that

revenue = total cost

The cost c (in dollars) for the fuel and maintenance of a go-cart is given by

c = 10x + 1200

where x is the number of rides. It costs $40 per ride. This means that the revenue gotten from x rides is 40x.

In order to break even, it means that

40x = 10x + 1200

40x - 10x = 1200

30x = 1200

x = 1200/30

x = 40

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First, write an equation to add all sides of the triangle:

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What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:

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