To calculate the number of visitors after 3 hours, we can use the formula for exponential growth:
\[ V(t) = V_0 \times (1 + r)^t \]
where:
- \( V(t) \) is the number of visitors at time \( t \),
- \( V_0 \) is the initial number of visitors (350),
- \( r \) is the growth rate (1.2% or 0.012),
- \( t \) is the time in hours (3 hours).
Plugging in the values:
\[ V(3) = 350 \times (1 + 0.012)^3 \] \[ V(3) = 350 \times (1.012)^3 \]
Now, calculate \( (1.012)^3 \):
\[ (1.012)^3 \approx 1.036432 \]
Now, substitute this back into the equation:
\[ V(3) \approx 350 \times 1.036432 \] \[ V(3) \approx 362.75 \]
Rounding to the nearest whole number:
\[ V(3) \approx 363 \]
Therefore, the predicted number of visitors after 3 hours is 363 visitors.