1. **State the problem:** We are given the function $n = 40 \cdot 1.5^t$ which models a quantity $n$ growing over time $t$. 2. **Formula and explanation:** This is an exponential growth function where the base $1.5$ means the quantity increases by 50% each time unit $t$ increases by 1. 3. **Calculate values for specific $t$:** - For $t=0$, $n = 40 \cdot 1.5^0 = 40 \cdot 1 = 40$ - For $t=1$, $n = 40 \cdot 1.5^1 = 40 \cdot 1.5 = 60$ - For $t=2$, $n = 40 \cdot 1.5^2 = 40 \cdot 2.25 = 90$ 4. **Interpretation:** The quantity grows by multiplying the previous amount by 1.5 each time period. 5. **Additional note:** The user also mentioned $n = 40 \cdot 2^t$ which is a different growth rate (doubling each time). For $t=0$, $n=40$; for $t=1$, $n=80$; for $t=2$, $n=160$. 6. **Summary:** The original function $n=40 \cdot 1.5^t$ models 50% growth per time unit. **Final answer:** The function is $n=40 \cdot 1.5^t$ representing exponential growth with a 50% increase per time unit.