1. ## Algebraic Word Translations

Hi All.

'Mary persuaded n friends to donate $500 each to her election campaign, and then each of these n friends persuaded n more people to donate$500 each to Mary's campaign' Denote a formula for the amount contributed to the campaign.

Translating this I would work as follows.

1. Mary persuaded n friends to dontate $500 each to her election campaign: [tex]500n[\MATH] 2. Each of these n friends persuaded n more people to donate$500 each to Mary's campaign[tex]500n(500n)[\MATH]

However the answer is [tex]$500(n^2 + n)[\MATH] Where did I go wrong? Thanks, D 2. try thinking like this: how much do mary's friends donate this is number of people * donation number of people: n donation: 500 amount: 500n how much do their friends donate number of people: n*n donation: 500 Amount = 500n^2 so the total donated is: 500n + 500n^2 = 500(n^2 + n) 3. there are n people, not 500n people. Your first "500n" is the amount of money. If each of n people contacts another n people, then they will have contacted$\displaystyle n^2$people, which,together with the original n, makes n^2+ n people, each of whom contributes$500.