To find the unit price of one padlock when a pack of 7 padlocks costs $23.80, we need to divide the total cost by the number of padlocks.
Let's denote the unit price of one padlock as \( P \). The formula we use is:
\[ P = \frac{\text{Total Cost}}{\text{Number of Padlocks}} \]
We know that the total cost is $23.80, and there are 7 padlocks in a pack. Thus,
\[ P = \frac{23.80}{7} \]
When we perform this division, we get:
\[ P = 3.4 \]
The unit price per padlock is therefore $3.40.
Since the question asks us to round to the nearest cent if necessary, and our calculated value of $3.40 is already to the nearest cent, there is no further rounding needed. The unit price, in dollars per padlock, is $3.40.