Question

question 2 a20301_002a
2011 623,112
2012 1,666,017
2013 1,799,243
2014 1,845,787
2015 1,924,436
part a
find the average rate of change in the number of students taking
the act from 2011 to 2015.
average rate of change = 75331
part b
interpret your results in the context of the situation.
from 2011 to , the number of students taking
the act by an average of
students per year.

Explanation:

Step1: Calcular la diferencia en el número de estudiantes

La fórmula para la tasa de cambio promedio es \(\frac{f(b)-f(a)}{b - a}\). Aquí, \(a = 2011\), \(f(a)=623112\), \(b = 2015\), \(f(b)=1924436\).
La diferencia en el número de estudiantes es \(f(b)-f(a)=1924436 - 623112=1301324\).

Step2: Calcular la diferencia en los años

La diferencia en los años es \(b - a=2015 - 2011 = 4\).

Step3: Calcular la tasa de cambio promedio

La tasa de cambio promedio es \(\frac{1301324}{4}=325331\).

Answer:

Para la parte A: La tasa de cambio promedio es \(325331\).
Para la parte B: From 2011 to \(2015\), the number of students taking the ACT \(increased\) by an average of \(325331\) students per year.