I figured out an option. I'm not sure how pretty it is because I know little about PHP but here is what I did in case, by some chance, someone else would like to do it as well -- or if anyone would like to tell me that I can do this easier.
<?php $today = date("l"); ?>
<?php if ($today == Monday): ?>
<?php $my_query = new WP_Query('showposts=1');?>
<?php elseif ($today == Tuesday): ?>
<?php $my_query = new WP_Query('showposts=2');?>
<?php elseif ($today == Wednesday): ?>
<?php $my_query = new WP_Query('showposts=3');?>
<?php elseif ($today == Thursday): ?>
<?php $my_query = new WP_Query('showposts=4');?>
<?php elseif ($today == Friday): ?>
<?php $my_query = new WP_Query('showposts=5');?>
<?php elseif ($today == Saturday): ?>
<?php $my_query = new WP_Query('showposts=6');?>
<?endif; ?>
Then followed it with the normal WP_Query loop:
<?php while ($my_query->have_posts()) : $my_query->the_post(); $do_not_duplicate = $post->ID;?>
<a href="<?php the_permalink() ?>" class="contentitle" title="<?php the_title(); ?>"><?php the_title(); ?></a>
on <?php the_time('d. M Y') ?> in <?php the_category(','); ?>.
<?php the_content("Continue reading " . the_title(' ', 'ยด', false)); ?>
<?php endwhile; ?>