Maths-
General
Easy

Question

b left parenthesis t right parenthesis equals 100 left parenthesis 1.11 right parenthesis to the power of t end exponent The given function b models the number of flour beetles in a certain area, where t represents the number of days after June 1. Which of the following is the best interpretation of the number 1.11 in this context?

  1. The model predicts that there were approximately 1.11 flour beetles in this area on June 1.    
  2. The model predicts that the number of flour beetles in this area increases by approximately 1.11 each day.    
  3. The model predicts that it will take approximately 1.11 days for the number of flour beetles to double.    
  4. The model predicts that the number of flour beetles grows by a factor of approximately 1.11 each day.    

The correct answer is: The model predicts that the number of flour beetles grows by a factor of approximately 1.11 each day.


    We state the interpretation of multiplication in this context.
    Explanations:
    Step 1 of 1:
    The given function is b open parentheses t close parentheses equals 100 open parentheses 1.11 close parentheses to the power of t end exponent, where t represents the number of days after June 1
    Put t equals 1, b open parentheses 1 close parentheses equals 100 cross times 1.11 equals 111
    Put t equals 2, b open parentheses 2 close parentheses equals 100 cross times 1.11 cross times 1.11 equals 123.21 approximately equal to 123
    As we can observe that the number of flour beetles is increasing by a factor of 1.11 each day.
    Final Answer:
    The right option is — The model predicts that the number of flour beetles grows by a factor of approximately 1.11 each day.

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