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Venera sent a chain letter to her friends, asking them to forward the letter to more friends.

 

The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:

 

 

\(P(t)=2^{3t+7}\)

 

Complete the following sentence about the monthly rate of change in the number of people who receive the email.


Round your answer to two decimal places.

 

Every month, the number of people who receive the email is multiplied by a factor of [_____]

 Oct 6, 2020
 #1
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The answer is 8, make some tables and you will find the difference to be all 2^3, which is 8.

 Oct 6, 2020
 #2
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Example 3 months    23(3)+7  =    216 =65536      

  2 months                 23(2)+7 =     213 = 8192

                                                     216 / 213 = 23 = 8 times

 Oct 6, 2020

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