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The number of visitors to the Eiffel Tower in Paris increases by 1.5\%1.5% each year. Which kind of function best models the relationship between time and the number of visitors to the Eiffel Tower?

linear or exponential

Respuesta :

Answer:

Exponential function.

Step-by-step explanation:

We have been given that the number of visitors to the Eiffel tower in Paris increase by 1.5% each year.    

Since linear function changes at a constant rate and exponential function changes at a rate that's always proportional to the value of the function.

We can see that number of visitors is not changing at a constant rate. We can see that each next year number of visitors increased by 1.5%, so number of visitors is increasing exponentially.

Therefore, exponential function best models the relationship between time and the number of visitors to the Eiffel Tower.


Exponential function best models the relationship between time and the number of visitors to the Eiffel Tower

Since the number of visitors to the Eiffel tower in Paris increases by 1.5% each year, it means the number of visitors to the tower is not changing at a constant rate (linear function) and in exponential function; the growth rate is proportional to its original value over time.

Further Explanation

Therefore, Exponential function best models the relationship because the number of visitors that visit the Eiffel tower in Paris increased by 1.5% yearly, which shows it increases exponentially.

One of the key features of a linear function is that its rate of change is constant and can be denoted by the equation Y = mx + b where both m and b are constants. Y is the dependent variable while x is the independent variable.  A linear function is characterized by one dependent variable and one independent variable

Also, one of the major features of an Exponential Function is that is the rate of growth is proportional to the value of the function. An exponential function is represented by f (x ) = ax, where a is the base function (constant) and x is a variable.

LEARN MORE:

  • A model of the Eiffel Tower is 1/7000000  weight of the Eiffel Tower. https://brainly.com/question/4251038
  • Classify each as Linear or Exponential  https://brainly.com/question/11683167

KEYWORDS:

  • exponential function
  • linear function
  • Eiffel tower
  • constant growth
  • variable
  • non variable