Question

rob and jenni each recruit three people to be election - campaign volunteers. the next week they ask each of those volunteers to recruit three more campaign volunteers. they want all new volunteers each week to recruit three more volunteers. select the equation that represents the number of new volunteers each week.

Explanation:

Step1: Analyze the recruitment process

Rob and Jeni start by recruiting 3 people. In the next week, each of those 3 people recruits 3 more, so there are $3\times3 = 3^{2}$ new volunteers in the second - week. In general, in the $n$th week, the number of new volunteers is given by an exponential - growth formula. If we let $n$ be the number of weeks, and start with an initial recruitment of 3 people and each new volunteer recruits 3 more each week, the number of new volunteers $y$ in the $n$th week is $y = 3\times3^{n - 1}=3^{n}$.

Answer:

$y = 3^{n}$