Step 1 :Calculate the unit price for the 15.3-ounce box of cereal by dividing the cost by the number of ounces: \( \frac{\$4.66}{15.3 \text{ ounces}} \approx \$0.305 \text{ per ounce} \)
Step 2 :Calculate the unit price for the 24-ounce box of cereal by dividing the cost by the number of ounces: \( \frac{\$5.98}{24 \text{ ounces}} \approx \$0.249 \text{ per ounce} \)
Step 3 :Compare the unit prices to determine the better value: \( \$0.305 \text{ per ounce} > \$0.249 \text{ per ounce} \)
Step 4 :The better value is the \(\boxed{24\text{-ounce box}}\)