Final answer:
After calculating the price per bar of homemade soap, it's determined that Cynthia offers the better bargain at $1.70 per bar, compared to Rodney's $1.75 per bar.
Step-by-step explanation:
To determine who is offering the better bargain for homemade bars of soap between Rodney and Cynthia, we need to calculate the price per bar that each is charging. Rodney sold 18 bars for $31.50, so we divide $31.50 by 18 to find out the price per bar. Cynthia sold 20 bars for $34.00, so we divide $34.00 by 20 to find her price per bar.
Calculating the price per bar for Rodney: $31.50 ÷ 18 bars = $1.75 per bar.
Calculating the price per bar for Cynthia: $34.00 ÷ 20 bars = $1.70 per bar.
Since Cynthia's price per bar is lower, she is offering the better bargain.