QuestionA rumour is being spread in a community that the mayor is going to retire before the next election. Initially, 6 people were told the rumour and each of these people told 6 others the following day. Each of the 6 people told by the initial people told 6 others the day after they were told. If this process keeps up, how many people will be told the rumour on the eighth day? a. $\quad 48$ people b. $\quad 279936$ people c. 1679616 people d. 10077696 people

Studdy Solution
Calculate the number of people told on the eighth day.
Substitute $n = 8$ into the model:
$6^8$
Calculate $6^8$ :
$6^8 = 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6$
$6^8 = 1679616$
Thus, the number of people told the rumor on the eighth day is:
$\boxed{1679616}$

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