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The number of visitors to the Eiffel Tower in Paris increases by 1.5% each year. Which kind of function best models the relationship between time and the number of visitors to the Eiffel Tower? Choose 1 answer: (A) Linear (B) Exponential

The number of visitors to the Eiffel Tower in Paris increases by 1.5%1.5\% each year.\newlineWhich kind of function best models the relationship between time and the number of visitors to the Eiffel Tower?\newlineChoose 11 answer:\newline(A) Linear\newline(B) Exponential

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Q. The number of visitors to the Eiffel Tower in Paris increases by 1.5%1.5\% each year.\newlineWhich kind of function best models the relationship between time and the number of visitors to the Eiffel Tower?\newlineChoose 11 answer:\newline(A) Linear\newline(B) Exponential
  1. Understanding the increase: Understand the nature of the increase in the number of visitors.\newlineThe number of visitors increases by a certain percentage each year. This means that each year, the number of visitors is multiplied by a factor that is greater than 11. This is characteristic of exponential growth, where a quantity increases by a fixed percentage over equal intervals of time.
  2. Comparing linear and exponential functions: Compare the characteristics of linear and exponential functions.\newlineA linear function increases by a fixed amount each period, while an exponential function increases by a fixed percentage each period. Since the number of visitors increases by a fixed percentage (1.5%1.5\%), this suggests an exponential function rather than a linear one.
  3. Choosing the correct answer: Choose the correct answer based on the analysis.\newlineSince the increase is by a fixed percentage, the kind of function that best models the relationship between time and the number of visitors to the Eiffel Tower is an exponential function.

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