1. The problem is to understand the function $f(t) = 1200 \cdot 2^t$ and find its value for a given $t$ or describe its behavior. 2. This is an exponential function where the base is 2 and the coefficient is 1200. 3. The general form of an exponential function is $f(t) = a \cdot b^t$ where $a$ is the initial value and $b$ is the growth factor. 4. Here, $a = 1200$ and $b = 2$, meaning the function doubles every time $t$ increases by 1. 5. To find the value of $f(t)$ for a specific $t$, substitute the value of $t$ into the function and calculate. 6. For example, if $t=3$, then: $$f(3) = 1200 \cdot 2^3 = 1200 \cdot 8 = 9600$$ 7. This means at $t=3$, the function value is 9600. 8. The function grows exponentially, doubling each time $t$ increases by 1. Final answer: The function value depends on $t$ and is calculated by $f(t) = 1200 \cdot 2^t$.