Write an exponential function for the graph that passes through these points? Thanks!

<p>Hi, please help me with this?</p>

<p>Write an exponential function for the graph that passes through these points? </p>

<p>(0,144) and (4, 21, 609)</p>

<p>It's my algebra II homework, I have no clue how to do it and I have a test on Tuesday.
Answer: y=144(3.5)^x</p>

<p>I know this is the SAT forum and everything but I really need help, and this MAY appear on the SAT ? :)</p>

<p>Thank you so much.</p>

<p>The format for an exponential is y=a(b)^x. You have to find a and b.
For (0, 144), if you plug in 0 for x, b has to be 1. Since you know y is 144, that means a is 144.
I assume you meant (4, 21609). For that point, 144(b)^4=21609.
Divide by 4 to get (b)^4=150.0625
So b=(150.0625)^(1/4). If your calculator can’t do ^(1/4), then it’s the same as taking the square root twice.
So b=3.5
The answer is y=144(3.5)^x</p>