Question

the athletic department director at dayton high reported on the number of athletes at the school each year. athletes at dayton high according to the table, what was the rate of change between 2011 and 2014? round your answer to the nearest tenth. athletes per year

Explanation:

Step1: Identify the formula for rate of change

The formula for rate of change is $\frac{\text{Change in value}}{\text{Change in time}}=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Assign values from the table

Let $(x_1,y_1)=(2011,679)$ and $(x_2,y_2)=(2014,678)$.
So, $y_2 - y_1=678 - 679=-1$ and $x_2 - x_1=2014 - 2011 = 3$.

Step3: Calculate the rate of change

Substitute into the formula: $\frac{-1}{3}\approx - 0.3$.

Answer:

$-0.3$