Find the equation for an exponential that passes through the following points:

**Dima110** · November 25th 2012, 09:17 PM

Find the equation for an exponential that passes through the following points:

(-1, 35/12) and (2, 126/25)

Having a lot of trouble on this, thanks for the help

**MarkFL** · November 25th 2012, 09:43 PM

What is the form you are to use, i.e., what are the two parameters? Is it:

$y(x)=y_0e^{rx}$ ?

**divans** · November 26th 2012, 02:22 AM

Set up a system of equations using:
$y(x)=y_0b^{x}$
and solve

**MarkFL** · November 26th 2012, 02:31 AM

Okay, you have two parameters and two given points. We are told:

$y(-1)=\frac{35}{12}$

$y(2)=\frac{126}{25}$

Now using $y(x)=y_0b^x$ , what is your system of equations?

**divans** · November 27th 2012, 11:30 AM

I hope this helps:
$y(-1)=\frac{\35}{12}=ab^{-1}. \frac{35b}{12}=a$
Using a similar process for the second point allows you to solve for b, and consequently for a.

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