CPM Homework Help : GB8I Problem 9-36

Write the equation of an exponential function of the form $y = ab^{x}$ passing through the points $\left(2, 3\right)$ and $(5, \frac { 1 } { 9 })$ .

Hint:

Review problem 8-121.

Step 1:

Set up a system of equations using the two points.
Equation $1$ : $3 = ab^{2}$
Equation 2: $\frac{1}{9} = ab^5$

Answer:

$y=27(\frac{1}{3})^{x}$