Question

amelia left her house at time zero and drove to the store, which is 4 blocks away, at a speed of 2 blocks per minute. then she stopped and went into the store for 2 minutes. from there, she drove in the same direction at a speed of 7 blocks per minute until she got to the bank, which is 14 blocks away from the store. she stopped at the bank for 3 minutes. then she drove home at a speed of 6 blocks every minute. make a graph of showing the number of blocks away from home that amelia 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 store: distance/speed = \( \frac{4}{2} = 2 \) minutes. So from (0,0) to (2,4).

Step2: Store stop

Stops for 2 minutes. So from (2,4) to (2+2,4) = (4,4).

Step3: Time to bank

Distance to bank from store:14 blocks, speed=7 blocks/min. Time: \( \frac{14}{7}=2 \) minutes. Total time:4+2=6 minutes. Distance from home:4+14=18 blocks. So from (4,4) to (6,18).

Step4: Bank stop

Stops for 3 minutes. So from (6,18) to (6+3,18) = (9,18).

Step5: Time to home

Distance from home:18 blocks, speed=6 blocks/min. Time: \( \frac{18}{6}=3 \) minutes. Total time:9+3=12 minutes. So from (9,18) to (12,0).

Answer:

Plot segments: (0,0)-(2,4), (2,4)-(4,4), (4,4)-(6,18), (6,18)-(9,18), (9,18)-(12,0)