Question

question
tyshawn left his house at time zero and drove to the store, which is 16 blocks away, at a speed of 8 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 1 block per minute until he got to the bank, which is 2 blocks away from the store. he stopped at the bank for 3 minutes. then he drove home at a speed of 2 blocks every minute. make a graph of showing the number of blocks away from home that tyshawn is x minutes after he leaves his house, until he gets back home.

click twice to plot a segment.
click a segment to delete it.

Explanation:

Step1: Calculate time to store

Time = $\frac{\text{Distance}}{\text{Speed}} = \frac{16}{8} = 2$ minutes
This gives the segment from $(0,0)$ to $(2,16)$.

Step2: Calculate store stop time

End time = $2 + 2 = 4$ minutes
Distance stays 16 blocks, so segment from $(2,16)$ to $(4,16)$.

Step3: Calculate time to bank

Time = $\frac{2}{1} = 2$ minutes
End time = $4 + 2 = 6$ minutes
End distance = $16 + 2 = 18$ blocks
Segment from $(4,16)$ to $(6,18)$.

Step4: Calculate bank stop time

End time = $6 + 3 = 9$ minutes
Distance stays 18 blocks, so segment from $(6,18)$ to $(9,18)$.

Step5: Calculate time to drive home

Time = $\frac{18}{2} = 9$ minutes
End time = $9 + 9 = 18$ minutes
Distance goes to 0, so segment from $(9,18)$ to $(18,0)$.

Answer:

Plot the following connected segments on the graph:

1. From $(0, 0)$ to $(2, 16)$
2. From $(2, 16)$ to $(4, 16)$
3. From $(4, 16)$ to $(6, 18)$
4. From $(6, 18)$ to $(9, 18)$
5. From $(9, 18)$ to $(18, 0)$