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, Cooper will volunteer at the community food bank?

Question

h/3.5=2, h/14= 3.5, h/2= 3.5, 3.5h= 14

Answer 1

To find the total number of hours Cooper will volunteer at the community food bank, you can use the following reasoning:

Cooper will work for 2 weeks and will work 3.5 hours each day.

Assuming that he volunteers every day for 14 days (2 weeks), the total number of hours can be calculated as:

Total Hours (h) = Number of Days × Hours per Day
h = 14 × 3.5

Now, let's examine the equations you've listed to see which one matches:

1. \( \frac{h}{3.5} = 2 \) (This means h = 7, which is incorrect)
2. \( \frac{h}{14} = 3.5 \) (This means h = 49, which is correct)
3. \( \frac{h}{2} = 3.5 \) (This means h = 7, which is incorrect)
4. \( 3.5h = 14 \) (This means h = 4, which is incorrect)

The correct equation that represents the total number of hours is:
\[ \frac{h}{14} = 3.5 \]

This equation is correct because if you solve for \( h \), you get \( h = 14 \times 3.5 = 49 \), which is the total number of hours Cooper will volunteer.