Using the electrochemical series, how can I explain why manufacturers coat steel nails with zinc rather than copper?

I’m looking at this question in my chemistry book and I’m having trouble explaining the reason why manufacturers would use zinc rather than copper to prevent the corrosion of a steel nail (which contains iron, Fe).

Using the electrochemical series, I can see that Fe would react with zinc, but not with copper. (I assume that bit is right anyhow?)

However I have a feeling that examiners would prefer a more substantial explanation. Getting what I think into words has been causing me a bit of grief, I would really appreciate some help.

Thanks in advance!