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Question
each year the oakdale school district publishes its annual budget, which includes information on the sports programs per - student spending. oakdale school district sports budget according to the graph, when was the rate of change greater? between 2015 and 2016 between 2013 and 2014
Step1: Calculate rate of change for 2013 - 2014
The formula for rate of change (slope) is $\frac{\text{Change in } y}{\text{Change in } x}$. For 2013 - 2014, $y_1 = 55$, $y_2 = 70$, $x_1 = 2013$, $x_2 = 2014$. So rate of change is $\frac{70 - 55}{2014 - 2013}=\frac{15}{1}=15$.
Step2: Calculate rate of change for 2015 - 2016
For 2015 - 2016, $y_1 = 45$, $y_2 = 45$, $x_1 = 2015$, $x_2 = 2016$. Rate of change is $\frac{45 - 45}{2016 - 2015}=\frac{0}{1}=0$.
Step3: Compare the two rates
15 is greater than 0, so the rate of change is greater between 2013 and 2014.
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between 2013 and 2014