Final answer:
Sophia receives $9.50 in change after shipping a 16-ounce package with tracking, which costs her a total of $10.50.
Step-by-step explanation:
The student's question regarding how much change Sophia receives after shipping a package with tracking involves basic arithmetic operations. To solve this, we first calculate the total cost of shipping the package. Since it costs $0.58 per ounce and there is an additional charge of $1.22 for tracking, we multiply $0.58 by the weight of the package in ounces (16 ounces) and then add the tracking fee.
$0.58 \times 16 ounces = $9.28 (cost of shipping by weight)
$9.28 + $1.22 (tracking fee) = $10.50 (total cost of shipping with tracking)
Next, we determine the change Sophia receives after paying with a $20 bill:
$20.00 - $10.50 (total cost) = $9.50 (change Sophia receives)