Final answer:
Option 2 is the correct arithmetic sequence representing the DMV wait time, as it shows a consistent increment of 0.2 minutes, forming an arithmetic sequence.
Step-by-step explanation:
The question asks to identify which sequence represents the wait time arithmetic at the DMV. To determine the correct sequence, we need to know if the wait times increase by a consistent amount, which characterizes an arithmetic sequence. An arithmetic sequence has the form:
a, a+d, a+2d, a+3d,...
where a is the first term and d is the common difference between the terms. Looking at the provided sequences, we can calculate the difference between the first two terms:
- Option 1: 1.2 minutes - 1 minute = 0.2 minutes
- Option 2: 1.2 minutes - 1 minute = 0.2 minutes
- Option 3: 1.2 minutes - 1 minute = 0.2 minutes
- Option 4: 1.3 minutes - 1 minute = 0.3 minutes
To find a sequence with a consistent difference, we need to apply this difference to the second term and see if it matches the third term in the sequence:
- Option 1: 1.2 minutes + 0.2 minutes = 1.4 minutes (not 1.6)
- Option 2: 1.2 minutes + 0.2 minutes = 1.4 minutes (matches)
- Option 3: 1.2 minutes + 0.2 minutes = 1.4 minutes (not 1.8)
- Option 4: 1.3 minutes + 0.3 minutes = 1.6 minutes (matches but initial increment was different)
Thus, Option 2 is the correct arithmetic sequence that represents the wait time at the DMV because it shows a consistent increase in wait time of 0.2 minutes between each term.