Question

mamadou left his house and drove to the store. he stopped and went inside. from there, he drove in the same direction until he got to the bank. he stopped and went inside the bank. then he drove home. the graph below shows the number of blocks away from home mamadou is x minutes after he left his house, until he got back home. at what rate did mamadou travel from his house to the store? answer 1 block every 6 minutes 1 block every 2 minutes 2 blocks every 1 minute 6 blocks every 1 minute

Explanation:

Step1: Identificar los puntos inicial y final

El viaje desde la casa a la tienda se representa en la parte ascendente inicial del gráfico. Tomamos los puntos \((0,0)\) (tiempo \(0\) minutos, distancia \(0\) bloques) y \((6,3)\) (tiempo \(6\) minutos, distancia \(3\) bloques).

Step2: Calcular la tasa de cambio

La tasa de cambio (pendiente) se calcula con la fórmula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Aquí, \(y\) es la distancia (bloques) y \(x\) es el tiempo (minutos). Sustituyendo \(x_1 = 0,y_1=0,x_2 = 6,y_2 = 3\) en la fórmula: \(m=\frac{3-0}{6 - 0}=\frac{3}{6}=\frac{1}{2}\) bloque por minuto. Esto significa que por cada \(2\) minutos, avanza \(1\) bloque.

Answer:

1 block every 2 minutes.