16. the boston red sox had 949 runs in their 2004 season. in their 2015 season, they had 748 runs. find the…

Explanation:

Step1: Identify formula for rate of change

The rate of change (slope) formula is $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$, where $x$ is time (year) and $y$ is runs. Let $x_1 = 2004$, $y_1 = 949$; $x_2 = 2015$, $y_2 = 748$.

Step2: Calculate change in y (runs)

$\Delta y = y_2 - y_1 = 748 - 949 = -201$

Step3: Calculate change in x (years)

$\Delta x = x_2 - x_1 = 2015 - 2004 = 11$

Step4: Compute rate of change

Rate of change $=\frac{\Delta y}{\Delta x}=\frac{-201}{11}\approx -18.27$ (runs per year)

Answer:

The rate of change in runs is approximately $\boldsymbol{-18.27}$ runs per year (or exactly $\boldsymbol{-\frac{201}{11}}$ runs per year).