Alright, let's solve this problem step-by-step.
1. First, we know that John studied for a total of 22.5 hours over a period of 3.5 days. We need to find out the average number of hours he studied each day.
2. To find the average study hours per day, we use the formula for average:
[tex]\[ \text{Average study hours per day} = \frac{\text{Total study hours}}{\text{Total days}} \][/tex]
3. Plug in the given values:
[tex]\[ \text{Average study hours per day} = \frac{22.5 \text{ hours}}{3.5 \text{ days}} \][/tex]
4. When we perform this division, we get approximately:
[tex]\[ \text{Average study hours per day} \approx 6.428571428571429 \][/tex]
5. Now, we compare this result with the provided answer choices:
- O A. 4.6 hours
- O B. 5.9 hours
- ○ C. 6.4 hours
- O D. 7.3 hours
6. 6.4 hours is the closest to our calculated value of approximately 6.428571428571429.
Therefore, the correct answer is:
○ C. 6.4 hours