We were given a table that describes teh relationship between the year of an art contest entry, and the number of entries for that year. From these datapoints we need to calculate the rate of change between the years of 2013 and 2014.
The rate of change describes how the function is increasing or decreasing for a particular point. For our case, since the two datapoints are only one year apart, we can subtract the number of entries, and that should give us the desired result. This is done below:
[tex]\begin{gathered} \text{rate}=27-33 \\ \text{rate}=-5 \end{gathered}[/tex]The function rate of change between 2013 and 2014 was -5 entries per year.