Final answer:
Melissa took 130 minutes to complete her homework.
Step-by-step explanation:
To solve this problem using a number line, we can start by finding the difference in hours and minutes between 4:45 pm and 6:55 pm.
First, we convert both times to minutes. 4:45 pm is 4 * 60 + 45 = 285 minutes and 6:55 pm is 6 * 60 + 55 = 415 minutes.
Next, we subtract the starting time from the ending time: 415 minutes - 285 minutes = 130 minutes.
So, it took Melissa 130 minutes to complete her homework.