Question

sofia left her house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. then she stopped and went into the store for 5 minutes. from there, she drove in the same direction at a speed of 5 blocks per minute until she got to the bank, which is 10 blocks away from the store. she stopped at the bank for 3 minutes. then she drove home at a speed of 4 blocks every minute. make a graph of showing the number of blocks away from home that sofia is x minutes after she leaves her house, until she gets back home. click twice to plot a segment. click a segment to delete it.

Explanation:

Step1: Time to store

Time to reach store: distance/speed = 10/2 = 5 minutes. So from (0,0) to (5,10).

Step2: Stop at store

Stays at store for 5 minutes. So from (5,10) to (5 + 5,10) = (10,10).

Step3: Time to bank

Distance to bank from store: 10 blocks. Speed: 5 blocks per minute. Time: 10/5 = 2 minutes. So from (10,10) to (10 + 2,10 + 10) = (12,20).

Step4: Stop at bank

Stays at bank for 3 minutes. So from (12,20) to (12 + 3,20) = (15,20).

Step5: Time to home

Distance from bank to home: 20 blocks. Speed: 4 blocks per minute. Time: 20/4 = 5 minutes. So from (15,20) to (15 + 5,0) = (20,0).

Answer:

Plot the segments:

• From (0, 0) to (5, 10)
• From (5, 10) to (10, 10)
• From (10, 10) to (12, 20)
• From (12, 20) to (15, 20)
• From (15, 20) to (20, 0)

(Note: To plot, click on the start and end points of each segment on the graph provided.)