William left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 12 blocks every minute. Make a graph showing the number of blocks away from home that William is x minutes after he leaves his house, until he get back home.

Answer:

17 minutes

Step-by-step explanation:

First distance in blocks and time.

x1= 8 b and t1 = 4 min

Second distance in blocks and time.

x2= 8 b and t2 = 6 min

Third distance in blocks and time.

x3= 24 b and t3 = 12 min

Fourth distance in blocks and time.

x4= 24 b and t4 = 17 min

Final distance in blocks and time.

x5= -24 b and t5 = 19 min

The first trap Willian is 8 blocks from home, we know that the speed is 2 b/min (blocks per minute). Using the definition of speed V1 = x1/t1 we can find t1. t1 will be t1 = 8/2 = 4 min.

He spends 2 minutes, so t2 = 6 min.

Now, the new speed is V2=4 b/min and go to the bank that is 16 blocks away from store, so x2 = 16 + 8 = 24 b. Times will be t = 24/4 = 6 min. But we need to add to t2 to get the total time. t3 = 6 + 6 = 12 min.

He spends 5 minutes here, so t4 = 12 + 5 = 17 min.

Finally, he drove home at -12 b/min, so the time to get home will be:

t = 24/12 = 2 min. Therefore, the total time t5 = 17 + 2 = 19 min.

You can learn more about velocity plots here:

https://brainly.com/question/14360042

https://brainly.com/question/18372944

I hope it helps you!        

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