Question

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? (1 point)
Responses

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

3.5h = 14
3.5 h equals 14

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

h/14 = 3.5

1 answer

To determine the total number of hours, \( h \), Cooper will volunteer at the community food bank, we can break it down as follows:

He will work for 2 weeks, and each week has 7 days, so the total number of days he will work is:

\[ 2 \text{ weeks} \times 7 \text{ days/week} = 14 \text{ days} \]

He works 3.5 hours each day, so the total number of hours he will volunteer is:

\[ h = 3.5 \text{ hours/day} \times 14 \text{ days} = 49 \text{ hours} \]

Now, we can express this relationship in terms of an equation. The correct equation representing the total number of hours \( h \) that Cooper will volunteer is:

\[ h = 3.5 \times 14 \]

This corresponds to \( 3.5h = 14 \), but it should have been presented as \( h = 3.5 \times 14 \) in a simplified form instead. Among the given options, the one that closely relates (though incorrectly formatted) to the total number of hours worked is:

3.5h = 14.

Thus, the correct choice is:

3.5h = 14.