what does the average rate of change for temperature represent, measured as degrees per hour, between hour 0…

what does the average rate of change for temperature represent, measured as degrees per hour, between hour 0 and hour 5?\na \\( \\frac { 1 } { 2 } \\) ; indicating the average temperature increases by 1 degree every 2 hours\nb \\( \\frac { 1 } { 2 } \\) ; indicating the average temperature increases by 2 degrees every 1 hour\nc 2 ; indicating the average temperature increases by 2 degrees every 1 hour\nd 2 ; indicating the average temperature increases by 1 degree every 2 hours

what does the average rate of change for temperature represent, measured as degrees per hour, between hour 0 and hour 5?\na \\( \\frac { 1 } { 2 } \\) ; indicating the average temperature increases by 1 degree every 2 hours\nb \\( \\frac { 1 } { 2 } \\) ; indicating the average temperature increases by 2 degrees every 1 hour\nc 2 ; indicating the average temperature increases by 2 degrees every 1 hour\nd 2 ; indicating the average temperature increases by 1 degree every 2 hours

Answer

Explanation:

Step1: Calcular la pendiente (tasa de cambio)

La fórmula para la tasa de cambio promedio es $\frac{y_2 - y_1}{x_2 - x_1}$. Supongamos que en $x = 0$ (hora 0), $y_1=20$ (grados) y en $x = 5$ (hora 5), $y_2 = 22.5$ (grados). Entonces $\frac{y_2 - y_1}{x_2 - x_1}=\frac{22.5 - 20}{5 - 0}=\frac{2.5}{5}=\frac{1}{2}$.

Step2: Interpretar la tasa de cambio

La tasa de cambio $\frac{1}{2}$ significa que por cada 2 horas (denominador), la temperatura aumenta 1 grado (numerador).

Answer:

A. $\frac{1}{2}$; indicating the average temperature increases by 1 degree every 2 hours