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The population, P, of a certain village from 1960 to 1980 can be calculated using the function P(t) = 1,200 + 60t, where t represents the number of years since 1960. Which of the following statements is the best interpretation of the number 1,200 in this context?
  • a)
    From 1960 to 1980, the population of the town increased by 1,200 people.
  • b)
    Between 1960 and 1980, the population of the town increased 1,200 people each year.
  • c)
    The population of the town was 1,200 at the beginning of 1960.
  • d)
    Between 1960 and 1980, the population of the town increased by 1200/60 people each year.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The population, P, of a certain village from 1960 to 1980 can be calcu...
The population P of the village will equal 1,200 people when the value of t is 0. Since t represents the number of years since 1960, this means that the population of the village at the beginning of 1960 was 1,200.
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The population, P, of a certain village from 1960 to 1980 can be calcu...
Understanding the Problem:
- The population of a village is being calculated from 1960 to 1980 using the function P(t) = 1,200 - 60t.
- The variable t represents the number of years since 1960.

Interpreting the Number 1,200:
- The number 1,200 in the given function does not have any variable attached to it.
- It is a constant value that is subtracted from the function.
- Therefore, it represents a fixed value that is not dependent on time.
- Let's analyze the given options to determine the best interpretation.

Option A: From 1960 to 1980, the population of the town increased by 1,200 people.
- This option suggests that the population increased by 1,200 people from 1960 to 1980.
- However, the function does not provide any information about the change in population over time.
- It only calculates the population at a given year based on the number of years since 1960.
- Therefore, this option is not the best interpretation.

Option B: Between 1960 and 1980, the population of the town increased 1,200 people each year.
- This option suggests that the population increased by 1,200 people every year from 1960 to 1980.
- However, the function does not include any variable that indicates an annual increase in population.
- It only subtracts a constant value of 1,200 from the function.
- Therefore, this option is not the best interpretation.

Option C: The population of the town was 1,200 at the beginning of 1960.
- This option suggests that the population of the town was 1,200 at the starting point of the given time frame, which is 1960.
- The function itself represents the population at a specific year since 1960.
- When t = 0 (at the beginning of 1960), the function evaluates to P(0) = 1,200 - 60(0) = 1,200.
- Therefore, this option is the best interpretation of the number 1,200 in this context.

Option D: Between 1960 and 1980, the population of the town increased by 1200/60 people each year.
- This option suggests that the population increased by 1200/60 = 20 people each year from 1960 to 1980.
- However, the function does not include the division operation or a variable to represent an annual increase.
- It only subtracts a constant value of 1,200 from the function.
- Therefore, this option is not the best interpretation.

Conclusion:
- The best interpretation of the number 1,200 in this context is that the population of the town was 1,200 at the beginning of 1960 (Option C).
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The population, P, of a certain village from 1960 to 1980 can be calculated using the function P(t) = 1,200 + 60t, where t represents the number of years since 1960. Which of the following statements is the best interpretation of the number 1,200 in this context?a)From 1960 to 1980, the population of the town increased by 1,200 people.b)Between 1960 and 1980, the population of the town increased 1,200 people each year.c)The population of the town was 1,200 at the beginning of 1960.d)Between 1960 and 1980, the population of the town increased by 1200/60 people each year.Correct answer is option 'C'. Can you explain this answer?
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The population, P, of a certain village from 1960 to 1980 can be calculated using the function P(t) = 1,200 + 60t, where t represents the number of years since 1960. Which of the following statements is the best interpretation of the number 1,200 in this context?a)From 1960 to 1980, the population of the town increased by 1,200 people.b)Between 1960 and 1980, the population of the town increased 1,200 people each year.c)The population of the town was 1,200 at the beginning of 1960.d)Between 1960 and 1980, the population of the town increased by 1200/60 people each year.Correct answer is option 'C'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The population, P, of a certain village from 1960 to 1980 can be calculated using the function P(t) = 1,200 + 60t, where t represents the number of years since 1960. Which of the following statements is the best interpretation of the number 1,200 in this context?a)From 1960 to 1980, the population of the town increased by 1,200 people.b)Between 1960 and 1980, the population of the town increased 1,200 people each year.c)The population of the town was 1,200 at the beginning of 1960.d)Between 1960 and 1980, the population of the town increased by 1200/60 people each year.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population, P, of a certain village from 1960 to 1980 can be calculated using the function P(t) = 1,200 + 60t, where t represents the number of years since 1960. Which of the following statements is the best interpretation of the number 1,200 in this context?a)From 1960 to 1980, the population of the town increased by 1,200 people.b)Between 1960 and 1980, the population of the town increased 1,200 people each year.c)The population of the town was 1,200 at the beginning of 1960.d)Between 1960 and 1980, the population of the town increased by 1200/60 people each year.Correct answer is option 'C'. Can you explain this answer?.
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