Question

ava left her house at time zero and drove to the store, which is 15 blocks away, at a speed of 5 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 2 blocks per minute until she got to the bank, which is 6 blocks away from the store. she stopped at the bank for 3 minutes. then she drove home at a speed of 7 blocks every minute. make a graph of showing the number of blocks away from home that ava 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: Calculate time to store

Time = $\frac{\text{Distance}}{\text{Speed}} = \frac{15}{5} = 3$ minutes
So segment: (0,0) → (3,15)

Step2: Plot store stop (2 mins)

Time increases by 2: $3+2=5$ mins, distance stays 15.
Segment: (3,15) → (5,15)

Step3: Calculate time to bank

Distance to bank: $15+6=21$ blocks, distance added: 6 blocks.
Time = $\frac{6}{2} = 3$ minutes, total time: $5+3=8$ mins.
Segment: (5,15) → (8,21)

Step4: Plot bank stop (3 mins)

Time increases by 3: $8+3=11$ mins, distance stays 21.
Segment: (8,21) → (11,21)

Step5: Calculate time to return home

Distance home: 21 blocks.
Time = $\frac{21}{7} = 3$ minutes, total time: $11+3=14$ mins.
Segment: (11,21) → (14,0)

Answer:

The graph has 5 segments with the following key points (time in minutes, distance in blocks):

1. (0, 0) to (3, 15)
2. (3, 15) to (5, 15)
3. (5, 15) to (8, 21)
4. (8, 21) to (11, 21)
5. (11, 21) to (14, 0)