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See below

Step-by-step explanation:

Part I

Plan A: f(m) = 0.12m + 75

Included $75 one off charge and $0.12 per mile.

Plan B: f(m) = 0.35m

Included only per mile charge of $0.35 per each milePart II

Rate of change is the charge per mile.

For Plan A it is $0.12 per mile and for Plan B it is $0.35 per mile. Part III

For 250 miles distance the rental charge will be as follows:

Plan A: f(250) = 250*$0.12 + $75 = $105Plan B: f(250) = 250*$0.35 = $87.5

As we see Plan B involves less of rental cost therefore is most cost effective