average rate of change practice\n1) what is the average rate of change on the interval 10, 30 for the…
average rate of change practice\n1) what is the average rate of change on the interval 10, 30 for the following function?\n| time (mins) | water left in pool (gal) |\n| ---- | ---- |\n| 10 | 80 |\n| 20 | 60 |\n| 30 | 40 |\n| 40 | 20 |
Answer
Explanation:
Step1: Identificar los valores
Sean $x_1 = 10$, $y_1=80$, $x_2 = 30$, $y_2 = 40$.
Step2: Aplicar la fórmula de tasa de cambio promedio
La fórmula de la tasa de cambio promedio es $\frac{y_2 - y_1}{x_2 - x_1}$. Sustituyendo los valores: $\frac{40 - 80}{30 - 10}$.
Step3: Realizar los cálculos
$\frac{40 - 80}{30 - 10}=\frac{- 40}{20}=-2$.
Answer:
$-2$