## Algebra 1

Initial Amount: 100 Decay Factor: $\frac{2}{3}$
To find the initial amount, plug 0 in for x: g(x) = 100($\frac{2}{3}$)$^{x}$ g(0) = 100($\frac{2}{3}$)$^{0}$ g(0) = 100(1) g(0) = 100 $\frac{2}{3}$ is the decay factor because this is the value that is attached to the "x" exponent. In other words, this is the value that will determine by how much x decays.