SOLUTION: write an exponential function of the form y = ab^x whose graph passes through the points given. (2, 12) (3, 144)

Algebra.Com
Question 399600: write an exponential function of the form y = ab^x whose graph passes through the points given. (2, 12) (3, 144)
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
write an exponential function of the form y = ab^x whose graph passes through the points given. (2, 12) (3, 144)
-----
144 = ab^3
12 = ab^2
------------
Divide and solve for "b":
12 = b
-----
Solve for "a":
12 = ab^2
12 = a*12^2
a = 1/12
----
Equation:
y = (1/12)*12^x
y = 12^(x-1)
=====================
Cheers,
Stan H.
============

RELATED QUESTIONS

Write an exponential function of the form y=ab^x whose graph passes through the given... (answered by jim_thompson5910,stanbon)
write an exponential function of the form y=ab^x whose graph passes through the given... (answered by solver91311)
Write an exponential function of the form y=ab^x whose graph passes through the given... (answered by MathLover1)
Write an exponential function y=ab^x whose graph passes through the given points: (2,16), (answered by vleith)
Write an exponential function y=ab^x whose graph passes through the given points: (2,16), (answered by scott8148)
Write the exponential function y=ab^x whose graph passes through the given points: (1,6), (answered by scott8148)
rite an exponential function of the form y = ab^x whose graph passes thru the given... (answered by jsmallt9)
what is the exponential function y= ab^x whose graph passes through the given points ? (answered by stanbon)
Write a power Function of the form y=ab^x whose graph passes through the given points:... (answered by stanbon,vleith)