Markus sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elapsed time, t tt, in days, since Markus sent the email, and the total number of people who receive the email, P ( t ) P(t)P, left parenthesis, t, right parenthesis, is modeled by the following function: P(t)=6⋅(1.43)t Complete the following sentence about the daily percent change in the number of people who receive the email. Every day, % %percent of people are added to / subtracted from the total number of people who receive the email.

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calculista calculista · Answer 1 · 2020-04-30T04:23:48+02:00

Answer:

Every day, 43% percent of people are added from the total number of people who receive the email

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

[tex]P(t)=a(1+r)^t[/tex]

where

P(t) is the total number of people who receive the email

t is the time in days

a is the initial value

r is the rate of change

we have

[tex]P(t)=6(1.43)^t[/tex]

so

[tex]a=6[/tex] ---> initial number of people who receive the email

[tex](1+r)=1.43[/tex]

solve for r

[tex]r=1.43-1\\r=0.43[/tex]

Convert to percentage

[tex]0.43(100)=43\%[/tex]

so

The daily percent change in the number of people who receive the email. every day is 43%

therefore

Every day, 43% percent of people are added from the total number of people who receive the email