sam is supposed to sell cookies in 90 days. each day he doesnt sell them he can do each of the followings:?

Question

option a. make the cookies be $225 and each day that he doesnt sell the cookie take a $1.00 off.

option b. make the cokies be $250 and take $2.00 off.

Make an equation for the following 2 and say what day the prices equal the same.

THANKS

Answer 1

If sold the first day --> $225 and $250
If sold the 2nd day --> $224 and $248
etc.

Linear equation for option A:
a(n) = 225 - (n - 1)
a(n) = 226 - n

Linear equation for option B:
b(n) = 250 - 2(n - 1)
b(n) = 250 - 2n + 2
b(n) = 252 - 2n

When do these equal? Equate them:
226 - n = 252 - 2n

Add 2n to both sides:
2n - n + 226 = 252
n + 226 = 252

Subtract 226 from both sides:
n = 252 - 226
n = 26

So on day 26, the prices will be the same ($200)

Note: It's a little tricky because Sam starts discounting on day 2, not day 1.

Answer 2

go ask a damn math teacher or go look it up on the computer internet