Landon left his house at time zero and drove to the store, which is 6 blocks away, at a speed of 3 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of 2 blocks per minute until he got to the bank, which is 4 blocks away from the store. He stopped at the bank for 5 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 Landon is xx minutes after he leaves his house, until he gets back home.

Let's compute cumulative distances(in terms of blocks) and cumulative time using Landon's speed and stay at various places in order to plot a graph. (Note: cumulative means total so far; we add current value to previous total)

The graph will have cumulative time t (in minutes) on the X-axis and cumulative distance d (in terms of blocks) on the Y-axis. We will indicate Landon's position at any time with the coordinates (t, d)

At time t=0 Landon is at home so d = 0
Landon's position at time t=0 is (0, 0)

Home ⇒ Store
Total distance traveled = 6 blocks at a speed of 3 blocks per minute
Time taken to reach store = 6/3 = 2 minutes.
Cumulative time t = 0 + 2 = 2 minutes
Cumulative distance = 0 + 6 = 6 blocks
Landon's position is (2, 6)
Landon stayed at the store for 7 minutes. So between t=2 and t=2+7 distance remains unchanged
Cumulative time = 2 + 7 = 9 minutes
Cumulative distance = 6 + 0 = 6 blocks
Landon's position at t = 9 is (9, 6)
Store ⇒ Bank
Speed was 2 blocks per minute and covered 4 blocks
So time taken = 2 minutes
Cumulative time t = 9 + 2 = 11 minutes
Cumulative distance d = 6 + 4 = 10 blocks.
So Landon's position is (11 , 10)
Bank Stop : 5 minutes
Cumulative Time t = 11 + 5 16 minutes
Cumulative distance d = 10 + 0 = 10 blocks (distance unchanged)
Landon's position: (16, 10)
Bank ⇒ Home
Total distance covered = 10 blocks at a speed of 5 blocks per minute
Time taken = 10/5 = 2 minutes
Cumulative time t = 16 + 2 = 18 minutes
Distance from home is 0
Landon's position is (18, 0)

Plot these boldfaced values on a graph and connect them with line segments to get the graph