SOLUTION: Write an equation for the exponential function that contains points (2,2) and (3,1). Write the equation in the form y=a(b)^x.

Algebra ->  Exponents -> SOLUTION: Write an equation for the exponential function that contains points (2,2) and (3,1). Write the equation in the form y=a(b)^x.       Log On


   



Question 904587: Write an equation for the exponential function that contains points (2,2) and (3,1). Write the equation in the form y=a(b)^x.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
2 = a(b)^2 0r a = 2%2Fb%5E2
1 = a(b)3 Subdtituting for a
1 = (2/b^2)b^3
1/2 = b
and
a = 2%2F%281%2F2%29%5E2 = 8
y = 8(1/2)^x