To determine how many hours Ralph plays tennis in a year, let's break it down step by step.
1. Understand the monthly time commitment:
Ralph spends [tex]\( 15 \frac{1}{3} \)[/tex] hours per month playing tennis. This can be converted into an improper fraction:
[tex]\[
15 \frac{1}{3} = 15 + \frac{1}{3}
\][/tex]
2. Sum the total time spent per month:
Let's write this as a decimal for ease of calculation:
[tex]\[
15 + \frac{1}{3} \approx 15.3333 \, \text{hours}
\][/tex]
3. Calculate the yearly total:
There are 12 months in a year. So, Ralph's yearly time commitment for playing tennis is:
[tex]\[
15.3333 \times 12
\][/tex]
4. Perform the multiplication:
Multiplying these together gives:
[tex]\[
15.3333 \times 12 = 184
\][/tex]
So, Ralph spends approximately 184 hours per year playing tennis.
Therefore, the best answer is:
C. 184