Use HTML Dropbox List to Populate Field

I have a list of field options for field 48 in Quick Base and I want an internet user via an HTML page to select from and add the choice the the field. I'm trying to get the following html code to execute what I'm trying to do but need help:

Reason: <select id="f48">
  <option value="Overtime">Overtime</option>
  <option value="HR Training">HR Training</option>
  <option value="USDA Training">USDA Training</option>
  <option value="VDOE Training">VDOE Training</option>
</select>
<input type="text" value="" id="f48"  name="_fid_48">

I have the API call and all else set up, but just need to correct the line of code above.