Taxes:
Along with incomes, peoples charitable contributions have steadily increased over the past few years. The table shows the average deduction for charitable contributions reported on individual income tax returns for the period 2007 to 2012. Find the average rate of change between 2009 and 2011.
(Year)2007 (charitable contributions) $1980
(Year)2008 (charitable contributions) $2350
(Year)2009 (charitable contributions) $2490
(Year)2010 (charitable contributions) $2760
(Year)2011 (charitable contributions) $3060
(Year)2012 (charitable contributions) $3120
Rate of Change=(3060-2490)/(2011-2009) =
$570/2yrs. = $285/yr.
To find the average rate of change between 2009 and 2011, we need to calculate the difference in charitable contributions from 2009 to 2011 and divide it by the number of years in between.
First, let's find the difference in charitable contributions from 2009 to 2011:
Charitable contributions in 2009 = $2490
Charitable contributions in 2011 = $3060
Difference = Charitable contributions in 2011 - Charitable contributions in 2009
Difference = $3060 - $2490 = $570
Next, let's calculate the number of years between 2009 and 2011:
Number of years = 2011 - 2009 = 2
Finally, divide the difference by the number of years:
Average rate of change = Difference / Number of years
Average rate of change = $570 / 2 = $285
Therefore, the average rate of change between 2009 and 2011 is $285.