Final answer:
The largest time interval over which the actual price per watt of a solar panel was an increasing function of time is from 2005 to 2006.
Step-by-step explanation:
In order to find the largest time interval over which the actual price per watt of a solar panel was an increasing function of time, we need to analyze the percent growth over previous years. Looking at the table, we can see that in 2005 the percent growth is 6.7, which is positive. Continuing to go through the years, we see that the percent growth is positive in 2006 as well, at 9.7. However, in 2007, the percent growth becomes negative. Therefore, the largest time interval over which the actual price per watt of a solar panel was an increasing function of time is from 2005 to 2006, a span of 2 years.