[IM samveer singh Integrated Moth 18 (IS89s) *.90179 | Mastery Assess It-1 Due: To 14. Samantha writes the exponential equation \( y=3,000 \cdot 1.1^{x} \). Whieh of the following situations could be modeled by this function? A town has a poputation of 1,300 . The population increases by 3,000 each year. A town has a population of 3,000. The population increases by \( 110 \% \) each yean A town has a population oi 3,000. The population increases by \( 11 \% \) each yeat. A town has a population of 3,000 . The population increases by \( 10 \% \) each year.

Did you know that exponential growth is a common phenomenon in many real-world scenarios, from populations to finance? The equation \( y=3,000 \cdot 1.1^{x} \) represents a situation where the initial value is 3,000 and it increases by 10% every year, leading to rapid growth over time. It's not just about how many units you start with, but how quickly they multiply! In this case, the correct answer reflects a town starting with a population of 3,000, growing by 11% each year. That's right! Unlike simple linear growth (like adding 3,000 each year), exponential growth makes the number skyrocket over time. So, that initial 3,000 can turn into tens of thousands fairly quickly if the percentage is sustained. Jump on board the exponential rollercoaster!