the table shows how far a distance runner has traveled since the race began. what is her average rate of…

the table shows how far a distance runner has traveled since the race began. what is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?\n| time elapsed (hours) | miles traveled (miles) |\n| ---- | ---- |\n| 0.50 | 2.00 |\n| 0.75 | 3.50 |\n| 1.00 | 4.75 |\no 4.75 miles per hour\no 5.00 miles per hour\no 5.50 miles per hour\no 6.00 miles per hour

the table shows how far a distance runner has traveled since the race began. what is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?\n| time elapsed (hours) | miles traveled (miles) |\n| ---- | ---- |\n| 0.50 | 2.00 |\n| 0.75 | 3.50 |\n| 1.00 | 4.75 |\no 4.75 miles per hour\no 5.00 miles per hour\no 5.50 miles per hour\no 6.00 miles per hour

Answer

Explanation:

Step1: Identificar los valores

Tiempo inicial $t_1 = 0.75$ horas, distancia inicial $d_1 = 3.50$ millas, tiempo final $t_2=1.00$ horas, distancia final $d_2 = 4.75$ millas.

Step2: Aplicar la fórmula de tasa de cambio

La tasa de cambio media se calcula como $\frac{\Delta d}{\Delta t}=\frac{d_2 - d_1}{t_2 - t_1}$. Sustituyendo los valores: $\frac{4.75 - 3.50}{1.00 - 0.75}=\frac{1.25}{0.25}$.

Step3: Realizar la división

$\frac{1.25}{0.25}=5.00$.

Answer:

5.00 millas por hora