Maths-
General
Easy

Question

An advertising agency guarantees that its services will increase website traffic by 3.5% compared to each previous week. Which type of function best models the weekly guaranteed website traffic as the number of weeks increases?

  1. Increasing exponential  
  2. Decreasing exponential  
  3. Increasing linear  
  4. Decreasing linear  

The correct answer is: Increasing exponential


    HINT: Find the percent of increase in website traffic every week in comparison to the previous week.
    Complete step by step Solution
    Let the percentage of present traffic = 100%.
    First week, it would be 3.5% of the previous week's traffic.
    That is, 3.5% of 100 = 3.5
    So first week traffic percentage would be 3.5 + 100 = 103.5%
    Second week, it would be 3.5% of first week’s traffic.
    That is, 3.5% of 103.5 = 3.6225
    So the second week traffic percentage would be 3.6225+103.5 = 107.1225%
    From the values, It is clear that the traffic percentage is increasing exponentially.
    Hence option A is the correct answer.

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