Final answer:
The average rate of change in the median household income from 2000 to 2010 is $745.50 per year, calculated by dividing the total change in income ($7,455) by the number of years (10).
Step-by-step explanation:
To calculate the average rate of change in the median household income over the period from 2000 to 2010, we use the formula:
Average rate of change = (Change in value) / (Change in time)
The median household income rose from $41,990 in 2000 to $49,445 in 2010. So the change in value is $49,445 - $41,990 = $7,455.
The change in time is 2010 - 2000 = 10 years.
Therefore, the average rate of change is:
$7,455 / 10 years = $745.50 per year.
This means that, on average, the median household income increased by $745.50 each year between 2000 and 2010.