To find the total number of hours, \( h \), that Cooper will volunteer at the community food bank, you can set up an equation based on the number of hours he works each day and the total number of days he will be volunteering.
Cooper will work 3.5 hours each day for 14 days (2 weeks). Therefore, the equation for the total hours volunteered can be expressed as:
\[ h = 3.5 \times 14 \]
However, we want to find the equation that represents this situation based on the given options.
Let's analyze the options:
- \( h^2 = 3.5 \): Not relevant, does not match the scenario.
- \( \frac{h}{2} = 3.5 \): Not relevant, does not match the scenario.
- \( \frac{h}{3.5} = 2 \): Not relevant, does not match the scenario.
- \( \frac{h}{14} = 3.5 \): Could represent the scenario but needs justification.
- \( 3.5h = 14 \): This could imply each hour multiplied leads somewhere but doesn't match the structure.
None of the equations accurately express \( h = 3.5 \times 14 \) directly. However, let's look at the fourth option \( \frac{h}{14} = 3.5 \).
To see if this simplifies correctly:
- Multiply both sides by 14: \[ h = 3.5 \times 14 \] This holds true.
So, the equation that correctly represents the total number of hours, \( h \), that Cooper will volunteer is:
\[ \frac{h}{14} = 3.5 \]
Thus, the correct answer is:
\(\frac{h}{14} = 3.5\)