Question

The number of visitors to an annual neighborhood carnival increased each year as shown in the table. Predict the number of visitors in 2020, assuming the increase continues at this same rate

Answer 1

The average rate of change of the population from 2007 to 2012 is

$\dfrac{669-524}{2012-2007}=29$

which is to say that every five years you can expect 29 more visitors.

So if there were 607 visitors in 2010, then you could expect around 607+2*29=665 visitors in the year 2020.