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Math·Algebra·Linear functions

hard

At an amusement park, visitors wait in line for a certain ride. People in this line get on the ride at a rate of 12 people per minute. At the end of a certain day, 201 people are in line for the ride when the line closes. If these people will get on the ride and no additional people are allowed to get in line, which function models the number of people who remain in line $t$ minutes after it closes?

A

$p(t)=-12t+201$

B

$p(t)=12t+201$

C

$p(t)=12t-201$

D

$p(t)=213t$