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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.

User Nicu Tofan
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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

jonathan left his house at time zero and drove to the store, which is 4 blocks away-example-1
User Daniel Voina
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