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Copacabana beach in Rio de Janeiro is one of the most popular beaches in the world.

P(t) models the number of people at the beach, 
t hours past midnight on a specific day.
What does the statement 
P(10)=N mean?
Choose 1 answer:
(A) There were 10 people at the beach at 
N hours past midnight.
(B) There were 
N people at the beach at 10:00 a.m.
(c) There was an equal number of people at the beach at 10:00 a.m. and at 
N hours past midnight.

Copacabana beach in Rio de Janeiro is one of the most popular beaches in the world.\newlineP(t)P(t) models the number of people at the beach, tt hours past midnight on a specific day.\newlineWhat does the statement P(10)=NP(10)=N mean?\newlineChoose 11 answer:\newline(A) There were 1010 people at the beach at NN hours past midnight.\newline(B) There were NN people at the beach at 10:0010:00 a.m.\newline(C) There was an equal number of people at the beach at 10:0010:00 a.m. and at NN hours past midnight.

Full solution

Q. Copacabana beach in Rio de Janeiro is one of the most popular beaches in the world.\newlineP(t)P(t) models the number of people at the beach, tt hours past midnight on a specific day.\newlineWhat does the statement P(10)=NP(10)=N mean?\newlineChoose 11 answer:\newline(A) There were 1010 people at the beach at NN hours past midnight.\newline(B) There were NN people at the beach at 10:0010:00 a.m.\newline(C) There was an equal number of people at the beach at 10:0010:00 a.m. and at NN hours past midnight.
  1. Understanding P(t): Understand the function P(t).\newlineThe function P(t) models the number of people at the beach tt hours past midnight on a specific day. We need to interpret what P(10)=NP(10)=N means in this context.
  2. Interpreting P(10)P(10): Interpret P(10)P(10).\newlineP(10)P(10) means we are looking at the number of people at the beach when t=10t = 10 hours past midnight.
  3. Understanding N: Understand what N represents.\newlineN is the value of the function P(t)P(t) when tt is 1010. This means N represents the number of people at the beach at the time specified by t=10t=10.
  4. Converting time to standard format: Convert the time to standard format.\newlineSince tt is in hours past midnight, t=10t=10 corresponds to 10:0010:00 a.m. on a 2424-hour clock.
  5. Choosing the correct answer: Choose the correct answer.\newlineBased on the interpretation of P(10)=NP(10)=N, we can conclude that there were NN people at the beach at 10:0010:00 a.m. This corresponds to answer choice (B)(B).

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