Question

The cost CC (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000C=15x+2000, where xx is the number of rides.

a. Write an equation for the revenue RR in terms of the number of rides.
R=R=
35x

b. How many rides are needed to break even?


rides are needed to break even.

Answer 1

a, The answer is provided: R=35x

b. R=C when you break even (i.e. your cost equal your revenue)
35x=15x+2000; 20x=2000; x=2000/20; x = 100 rides

Answer 2

A) the revenue equation is given by R(x) = 35x, that means that each ride costs $35

B) when a business reaches break even point, it means that their revenue = their expenses

so, 35x = 15x + 2,000 (we subtract 15x from both sides)

35x - 15x = 15x + 2,000 - 15x

20x = 2,000 (we divide both sides by 20)

20x/20 = 2,000/20

x = 100

The break even point in units = 100 rides