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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 
N people at the beach at 10:00 a.m.
(B) There were 10 people at the beach at 
N hours past midnight.
(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 NN people at the beach at 1010:0000 a.m.\newline(B) There were 1010 people at the beach at NN hours past midnight.\newline(C) There was an equal number of people at the beach at 1010:0000 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 NN people at the beach at 1010:0000 a.m.\newline(B) There were 1010 people at the beach at NN hours past midnight.\newline(C) There was an equal number of people at the beach at 1010:0000 a.m. and at NN hours past midnight.
  1. Function P(t): Understand the function P(t).\newlineP(t) is a function that models the number of people at Copacabana beach tt hours past midnight on a specific day.
  2. Interpret P(10)=NP(10)=N: Interpret P(10)=NP(10)=N.\newlineThe statement P(10)=NP(10)=N means that the function PP, when evaluated at t=10t=10 hours past midnight, equals NN. This tells us the number of people at the beach at that specific time.
  3. Determine the time of day: Determine the correct time of day.\newlineSince tt is measured in hours past midnight, t=10t=10 corresponds to 1010 hours after midnight, which is 10:0010:00 a.m.
  4. Choose the correct answer: Choose the correct answer.\newlineBased on the interpretation of P(10)=NP(10)=N, the correct answer is that there were NN people at the beach at 10:0010:00 a.m.

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