Ordinarily, it takes Brother 20 minutes to go from home to school, and it takes Sister 16 minutes to go from home to school. Each child walks at a steady rate. Today, Brother left home at 8:00 AM and got a three-minute head start on Sister, who left at 8:03 AM.
A) Draw a graph to show the percent of the distance to school that Sister has covered versus the time. Label the graph S.
B) On the coordinate system above, draw a second graph to show the percent of the distance to school that Brother has covered. Label the graph B.
C) According to your graphs, will Sister catch up with Brother? If so, how do you know, and when does she catch up? If not, how do you know?
D) What is the slope of Brother's graph, and what does that slope mean in this situation?

Question

Ordinarily, it takes Brother 20 minutes to go from home to school, and it takes Sister 16 minutes to go from home to school. Each child walks at a steady rate. Today, Brother left home at 8:00 AM and got a three-minute head start on Sister, who left at 8:03 AM.
A) Draw a graph to show the percent of the distance to school that Sister has covered versus the time. Label the graph S. 
B) On the coordinate system above, draw a second graph to show the percent of the distance to school that Brother has covered. Label the graph B. 
C) According to your graphs, will Sister catch up with Brother? If so, how do you know, and when does she catch up? If not, how do you know? 
D) What is the slope of Brother's graph, and what does that slope mean in this situation?

Quizplus · Accepted Answer

The Answer of Ordinarily, it takes Brother 20 minutes to go from home to school, and it takes Sister 16 minutes to go from home to school. Each child walks at a steady rate. Today, Brother left home at 8:00 AM and got a three-minute head start on Sister, who left at 8:03 AM.
A) Draw a graph to show the percent of the distance to school that Sister has covered versus the time. Label the graph S. 
B) On the coordinate system above, draw a second graph to show the percent of the distance to school that Brother has covered. Label the graph B. 
C) According to your graphs, will Sister catch up with Brother? If so, how do you know, and when does she catch up? If not, how do you know? 
D) What is the slope of Brother's graph, and what does that slope mean in this situation?

Ordinarily, It Takes Brother 20 Minutes to Go from Home