To find the total number of hours \( H \) that Cooper will volunteer at the Community Food Bank, we can set up the equation based on the information given.
Cooper will volunteer for 2 weeks, which is equivalent to \( 2 \times 7 = 14 \) days. Each day, he works 3.5 hours. Therefore, the total number of hours \( H \) he will work is given by:
\[ H = 3.5 \text{ hours/day} \times 14 \text{ days} = 3.5 \times 14 \]
So we rewrite this as:
\[ H = 3.5h \]
where \( h \) is the total number of days, which is 14. This relates to option D, which represents \( 3.5h = 14 \).
Since we want to find \( H \), we simplify to find \( H \) directly:
Thus, the correct representation of the total working hours is:
None of the options provided correctly represent the total number of hours worked directly.
However, if we want to express it in terms of \( H \) and \( h \), we see that option D, rearranging gives \( H = 3.5h \), where \( h \) will be 14.
So if we consider \( H \):
- we can express it in terms of days worked (14) which also indicates \( H = 3.5 \times 14 = 49 \). so no options represent this directly!
But the most relevant would actually be D, for the relationship between total hours and days worked.
Thus, the answer is D. 3.5h = 14, but strictly, it will lead to \( H = 49 \) total hours after replacing \( h \).
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