SOLUTION: Write an exponential function of the form y=ab^x whose graph passes through the given points. 17. (1,4),(2,12)

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Question 72913This question is from textbook mcgougal littell algebra 2
: Write an exponential function of the form y=ab^x whose graph passes through the given points.
17. (1,4),(2,12) This question is from textbook mcgougal littell algebra 2

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Plug in both x and y into the general form

Plug in (1,4)
solve for b
Plug in point (2,12)
Now plug in b=4/a into b of


Solve for a

Plug this into with any point also
Solve for b


So the equation is

Check:
Plug in x=1, you should get y=4

works


Plug in x=2, you should get y=12


works

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 given points.
(1,4),(2,12)
----------
The form is y = ab^x
12 = ab^2
4 = ab^1
------------
Divide the 1st by the 2nd to get:
3 = b
--------
Substitute that into the 2nd equation to solve for "a":
4 = a*3^1
a=(4/3)
-------------
EQUATION:
y = (4/3)*2^x
==================
Cheers,
Stan H.

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