Final answer:
Sofia's trip can be plotted on a graph with time on the x-axis and distance from home on the y-axis. It includes her driving to the store, staying at the store, driving to the bank, staying at the bank, and returning home. The plot consists of linear increases and decreases in distance, with horizontal lines during her stops.
Step-by-step explanation:
To create a graph showing the number of blocks away from home that Sofia is xx minutes after she leaves her house, we must calculate the total time for each segment of her trip and the corresponding distance from home.
Sofia drives to the store at 2 blocks per minute for 10 blocks, which takes her 10/2 = 5 minutes.
She then shops for 5 minutes, during which the distance from home doesn't change (remains at 10 blocks).
Next, she drives 10 blocks to the bank at 5 blocks per minute, taking 10/5 = 2 minutes.
After spending 3 minutes at the bank, she returns home driving 4 blocks per minute. She has 20 blocks to cover, so it takes her 20/4 = 5 minutes.
Graphical representation:
0 to 5 minutes: Linear increase from 0 to 10 blocks.
5 to 10 minutes: Horizontal line at 10 blocks (store).
10 to 12 minutes: Linear increase from 10 to 20 blocks (bank).
12 to 15 minutes: Another horizontal line at 20 blocks (bank).
15 to 20 minutes: Linear decrease from 20 blocks back down to 0 (home).
The x-axis of the graph will represent time in minutes, and the y-axis will represent the distance from home in blocks.