SOLUTION: My son's teacher game him this problem and i want to help him work throught. But I must first figure it out. Here goes. A teacher gives one second of math homework the first

Algebra ->  Equations -> SOLUTION: My son's teacher game him this problem and i want to help him work throught. But I must first figure it out. Here goes. A teacher gives one second of math homework the first      Log On


   



Question 53955: My son's teacher game him this problem and i want to help him work throught. But I must first figure it out.
Here goes.
A teacher gives one second of math homework the first day of school. The second day 2 seconds, the third day 4 seconds and so on. How many seconds of homework will the student have on the 36th day of school?

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
This could look like a parabola or an exponential equation or other things (which I don't are what you are looking for.)
Exponential: You need a y-value of zero
(0,1) and (2,4)
y = a(b^x)
1 = a(b^0) which is: 1 = a
y = b^x
4 = b^2
2 = b
~> y = 2^x
But we want 1 day to be 1 second, not 0 days to be 1 second.
~> y = 2^(x - 1)
graph%28300%2C300%2C-5%2C5%2C-10%2C10%2C2%5E%28x+-+1%29%29