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the cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000, where x is the number of rids. $35 per ride. Write an equation for the revenue R in terms of the numbers of rides. How many rides are needed to break even?

Respuesta :

The equation would be R(x)=35x and it would take 100 rides.

To find the point where the company breaks even we set the cost equation C(x) equal to the revenue function R(x):

15x+2000=35x

We can't have a variable on both sides, so we subtract 15x from both sides:
15x+2000-15x=35x-15x
2000=20x

Now we divide both sides by 20:

2000/20 = 20x/20
100 = x

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