The manager of a bicycle shop has found that the revenue (in dollars) from the sale of x bicycles is given by?

Question

the following equation:
R = x2- 200x
How many bicycles must be sold to produce revenue of $12,500?



Please help

Answer 1

the answer is 250 bikes

first you move the 12,500 over to the right to make
x2-200x-12500=0

then you factor it
(x )(x )

to figure out the numbers you guess and check. Since both 12500 and 200 in the equation are negative you know there will be a negative and a positive number when you factor. I found the numbers to be 250 and 50

(x-250)(x+50)=0

the x values come out to 250 and -50. You cant have minus revenue to 250 is the answer.

then you check by plugging 250 in

12500= 250 times 250 minus 200 times 250

12500= 62500 - 50000

12500 = 12500

the check proves the answer correct

please vote me as best answer!

Answer 2

12500 = x^2 -200
0 = x^2 -200 -12500
0 = (x -250)(x + 50)
x = 250 or x = -50 but since you can't sell a negative number of bikes the answer is 250 bikes must be sold

Answer 3

x^2 - 200x = 12500
or
X^2 - 200x -12500 = 0
factor:
(x + 50)(x - 250) = 0
either
(x + 50) = 0, x = -50
cannot be negative so
(x - 250) = 0, x = 250
proof:
250^2 - 200* 250
62500 - 50000 = 12500
left = right

Answer 4

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