Modeling with Exponential/Logarithmic Equations Practice Test

A town’s population is 18,000 and increases by $2.4%$ each year.

Write an exponential model for the population after $t$ years and estimate how many years it will take for the population to reach 25,000. Round to the nearest tenth of a year.

The decibel level of a sound is given by $\text{dB}=10\log_{10}\left(\frac{I}{I_0}\right)$, where $I$ is the sound intensity and $I_0$ is a reference intensity. If a sound has intensity $2.5\times 10^4,I_0$, find its decibel level. Round to the nearest tenth and interpret your result in context.