After substituting $t=2$, pay attention to the product $0.5\cdot 2$ in the exponent. What simple number does that become?

Once you simplify the exponent, think about the value of $e$ raised to the power you found. How does $e^1$ simplify?

In Desmos, type 120*e^(0.5*2) to get the numerical value of $p(2)$. Then, if you want to check which choice matches, type each option (for example, 30*e^2, 60*e, 120*e, 120*e^2) and see which one gives the same numerical value as $p(2)$.

The function is $p(t)=120e^{0.5t}$. To find $p(2)$, replace $t$ with $2$: $p(2)=120e^{0.5\cdot 2}$.

Calculate $0.5\cdot 2$: this is $1$. So the expression becomes $p(2)=120e^{1}$.

Since $e^1=e$, we have $p(2)=120e$. This corresponds to the correct answer choice.