Today Star Satellite is offering the following special package to new customers: a one-time set-up fee of $10, the first month for free, and $32 per month thereafter. Which equation best represents k, the total cost of service for m months?

A k = (10 + m)32.
B k = 10 + 32m.
C k = 42(m – 1).
D k = 10 + 32(m – 1).

is D correct?