The function $A(t) = 222 \times 2.74^t$ gives the number of public electric charging outlets $A(t)$ at time $t$ years after 2005. To find the number of outlets in 2007, 2009, and 2010, we calculate $A(t)$ for the respective values of $t$.

1. For 2007:
   Since 2007 is 2 years after 2005, $t = 2$.
   $A(2) = 222 \times 2.74^2$

2. For 2009:
   Since 2009 is 4 years after 2005, $t = 4$.
   $A(4) = 222 \times 2.74^4$

3. For 2010:
   Since 2010 is 5 years after 2005, $t = 5$.
   $A(5) = 222 \times 2.74^5$

Let me calculate these values.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you’d like to continue manually, here’s what you can do:

1. For 2007: Plug $t = 2$ into the formula and calculate $A(2) = 222 \times 2.74^2$.
2. For 2009: Plug $t = 4$ into the formula and calculate $A(4) = 222 \times 2.74^4$.
3. For 2010: Plug $t = 5$ into the formula and calculate $A(5) = 222 \times 2.74^5$.

Feel free to reach out again if you'd like help with more calculations or details!

Here are 5 follow-up questions:

1. How do exponential growth models apply to other types of infrastructure, like solar power stations?
2. What factors contribute to the rapid increase in electric charging stations?
3. Could other functions (e.g., linear or logarithmic) model this situation more accurately at some point?
4. What is the significance of the base (2.74) in the given formula?
5. How might future technologies affect the rate of increase for charging stations?

Tip: When dealing with exponential growth, even small changes in the base can result in significant differences over time!