Hello there. To solve this question, we'll have to remember some properties about growth or decay functions and how to rewrite expressions.
Given the expression no. 30:
![y=a(0.25)^{(t)/(9)}](https://img.qammunity.org/2023/formulas/mathematics/college/cojadi33njoj0ptczcxt9awr1f4k4d8kzc.png)
We can rewrite:
![0.25=1-0.75](https://img.qammunity.org/2023/formulas/mathematics/college/9uwu2ledfq3dae09h2c5l69mhons72h10o.png)
Therefore we have:
![y=a(1-0.75)^{(t)/(9)}](https://img.qammunity.org/2023/formulas/mathematics/college/mku9ma9h366c5uo54z6iq8bvca85o8y9lh.png)
In this case, we get r = 0.75, that means a decay rate, because the values will get smaller and smaller as t increases.
The end behavior of this function is getting close to zero when t is sufficiently large.