# How do you determine if the equation y=100(0.9)^x represents exponential growth or decay?

Mar 22, 2016

Decay

#### Explanation:

Draw the graph with the graphing tool.

We observe that $y$ starts with a very large value.

Thereafter for increasing values of $x$ the value of $y$ decreases and approaches $0$ asymptotically. Hence it depicts decay.

graph{y=100(0.9)^x [-90.7, 549.3, -79.4, 240.6]}