Cooper will volunteer at a community food bank for two weeks. He will work 3.5 hours every day. Which equation represents the total number of hours, h

Question

, Cooper will volunteer at the community food bank? (1 point)
Responses

3.5h = 14
3.5 h equals 14

h/14 = 3.5
Start Fraction h over 14 End Fraction equals 3.5

h/3.5 = 2
Start Fraction h over 3.5 End Fraction equals 2

h/2 = 3.5
Start Fraction h over 2 End Fraction equals 3.5

Answer 1

To find the total number of hours \( h \) that Cooper will volunteer at the community food bank, we can set up an equation based on the information given:

1. Cooper will work 3.5 hours every day.
2. He will volunteer for 14 days (assuming 2 weeks is equal to 14 days).

Thus, the total hours \( h \) can be represented by the equation:

\[ h = 3.5 \times 14 \]

To check which of the provided options represents this scenario, let's analyze them:

1. 3.5h = 14 - This implies \( h \) is in a different context (total hours related to something else). Incorrect.

2. h/14 = 3.5 - This would imply that the total hours \( h \) divided by 14 days equals 3.5 hours per day. Rearranging gives \( h = 3.5 \times 14 \), which is actually correct. This is a valid option.

3. h/3.5 = 2 - This implies that the total hours \( h \) divided by 3.5 gives 2, which means \( h = 3.5 \times 2\). This is incorrect since it does not represent the total hours for 14 days.

4. h/2 = 3.5 - This implies that the total hours \( h \) divided by 2 gives 3.5, which means \( h = 3.5 \times 2 \). This is also incorrect for the same reason as option 3.

The correct answer is:

h/14 = 3.5.