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Genesis left her house at time zero and drove for 3 minutes to the store at a speed of 4 blocks per minute. Then she stopped and went into the store for 5 minutes. From there, she drove in the same direction at a speed of 3 blocks every 4 minutes until she got to the bank, which was 6 blocks away from the store. She stopped at the bank for 6 minutes. Then she drove home at a speed of 9 blocks every minute. Make a graph showing the number of blocks away from home that Genesis is x minutes after she leaves her house until she gets back home.

User Ridan
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To create a graph showing the number of blocks away from home that Genesis is at different times, we can break down the problem into steps: Step 1: Determine Genesis's position at each time interval. - At time zero, Genesis is at home, which is 0 blocks away from her starting point. - After driving for 3 minutes at a speed of 4 blocks per minute, Genesis would be 12 blocks away from her starting point. - After spending 5 minutes in the store, her position remains unchanged at 12 blocks away. - Next, Genesis continues driving at a speed of 3 blocks every 4 minutes until she reaches the bank, which is 6 blocks away from the store. It takes her 8 minutes to reach the bank. Therefore, her position at this time is 12 + 3 = 15 blocks away from her starting point. - After spending 6 minutes at the bank, her position remains unchanged at 15 blocks away. - Finally, Genesis drives home at a speed of 9 blocks every minute. Since her starting point is 15 blocks away, she would take 15/9 = 1.67 minutes to reach home. For simplicity, we can round it up to 2 minutes. Therefore, her position at this time is 0 blocks away from her starting point. Step 2: Plotting the points on the graph. - The x-axis represents time in minutes, while the y-axis represents the number of blocks away from home. - We have the following data points: (0, 0), (3, 12), (8, 15), and (10, 0). - Plot these points on the graph, connecting them with a line. Step 3: Label the axes and add a title. - Label the x-axis as "Time (minutes)" and the y-axis as "Blocks away from home." - Add a title to the graph, such as "Genesis's Distance from Home Over Time." The resulting graph will show how Genesis's distance from home changes over time, starting from 0 blocks away, reaching a maximum distance of 15 blocks, and finally returning to 0 blocks. Please note that the graph may vary depending on the scale and increments chosen for the axes. The important aspect is to accurately plot the data points and connect them to represent Genesis's journey.

User Seamus James
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