staffmanager/app/Appointment.php

<?php

namespace App;

use Illuminate\Database\Eloquent\Model;

class Appointment extends Model
{
    public $fillable = [
        'appointmentDescription',
        'appointmentDate',
        'applicationID',
        'appointmentStatus',
        'appointmentLocation',
        'meetingNotes',
        'userAccepted'
    ];

    public function application()
    {
      // FIXME: Possible bug here, where laravel looks for the wrong column in the applications table.
        return $this->belongsTo('App\Application', 'id', 'applicationID');
    }

    public function setStatus($status)
    {
        $this->update([
            'appointmentStatus' => $status
        ]);
    }
}