Question

question a20301_002a save and exit questions |< part a use the graph to estimate the average rate of change in super bowl television viewers from 2006 to 2016 to the nearest hundredth of a million. then check your results algebraically. estimate = million average rate of change = million per year

Explanation:

Step1: Identificar los puntos

En 2006 ($x = 0$), el número de televidentes es $y_1=90.75$ millones. En 2016 ($x = 10$), el número de televidentes es $y_2 = 111.9$ millones.

Step2: Aplicar la fórmula de la tasa de cambio media

La fórmula de la tasa de cambio media es $\frac{y_2 - y_1}{x_2 - x_1}$. Sustituyendo $x_1 = 0$, $y_1=90.75$, $x_2 = 10$ y $y_2 = 111.9$:

$$\begin{align*} \frac{111.9 - 90.75}{10-0}&=\frac{21.15}{10}\\ &= 2.115\\ &\approx2.12 \end{align*}$$

Answer:

average rate of change = $2.12$ million per year