jonathan left his house at time zero and drove to the store, which is 4 blocks away, at a speed of 2 blocks every 3 minutes. Then he stopped and went into the store for 4 minutes. From there, he drove in the same direction at a speed of 3 blocks every 2 minutes until he got to the bank, which is 6 blocks away from the store. He stopped at the bank for 6 minutes. Then he drove home at a speed of 5 blocks every minute. Make a graph of showing the number of blocks away from home that Jonathan is a minutes after he leaves his house, until he gets back home
Let
x -----> the time in minutes after he leaves his house
y -----> the number of blocks away from home
step 1
jonathan left his house at time zero and drove to the store
we have
For x=0, y=0
For y=4 blocks ------> x=6 minutes (because speed of 2 blocks every 3 minutes)
step 2
Then he stopped and went into the store for 4 minutes
x=6 min------> y=4 blocks
x=6+4=10 min ------> y=4 blocks
see the new image
step 3
From there, he drove in the same direction at a speed of 3 blocks every 2 minutes until he got to the bank, which is 6 blocks away from the store
For x=10 min ------> y=4 blocks
For y=6 +4=10 blocks -------> x=4+10=14 min
see the new image
step 4
He stopped at the bank for 6 minutes
so
Fpr x=14 min , y=10 blocks
For x=14+6=20 min, y=10 blocks
see the new image
step 5
Then he drove home at a speed of 5 blocks every minute
the total distance at this moment is 10 blocks
if the speed is 5 blocks per mi nute, the time to gets back home is 2 minutes
therefore
For x=20 min , y=10 blocks
For x=20+2=22 min, y=0
see the new image