Complete question
High School Mathematics 5+3 pts
Today, Sean left home at 8 a.m., drove to work, and worked from 9 a.m. until 5 p.m. On the drive back
home. Sean got stuck in slow-moving traffic for 2 hours, then stopped to have dinner, and finally got home
at 9:30 pm
The graph below shows Sean's distance, d from his home (in kilometers) as a function of the time, t (in
hours!
Complete the sentences below based on the graph of the function.
. Sean's workplace is located _____km from his home.
• Sean's speed when he was driving to work was ___ km/h.
. Sean's speed between 5 p.m. and 7 p.m. was _____km/h.
Answer:
Sean's workplace is located 20km from his home.
Sean's speed when he was driving to work was 20 km/h.
Sean's speed between 5pm and 7pm was 5 km/h.
Explanation:
The formula for Speed = Distance in km ÷ Time in hours
a) Form the graph, we can see that Sean's workplace is located 20km from his home.
b) From the graph,
the distance from Sean's workplace from his home = 20km
We were told in the question that he drove from 8am - 9am.
This means Sean drove for 1 hour.
Since Speed = Distance in km ÷ Time in hours
Sean's speed = 20km ÷ 1 hour
= 20km/h
Therefore, Sean's speed when he was driving to work was 20 km/h.
c) From the graph, we can see that the distance Sean travelled was 10km from 5pm to 7pm
The time is from 5pm to 7pm, this means 2 hours
Speed = Distance in km ÷ Time in hours
Sean's Speed between 5pm to 7pm = 10km ÷ 2 hours
= 5km/hr
Therefore, Sean's speed between 5pm and 7pm was 5 km/h.