Question - Exponential Growth in Voter Convincing
Solution:
This is a problem involving exponential growth. Simon starts by convincing 10 people to vote. On each subsequent day, each person he has convinced convinces 10 more people to vote.Here's how it works for five days:- On day one, Simon convinces 10 people.- On day two, those 10 people each convince 10 more people, so $$10 \times 10 = 100$$ people are convinced.- On day three, each of these 100 people convinces 10 more people, so $$100 \times 10 = 1,000$$ people are convinced.- On day four, each of these 1,000 people convinces 10 more people, so $$1,000 \times 10 = 10,000$$ people are convinced.- On day five, each of these 10,000 people convinces 10 more people, so $$10,000 \times 10 = 100,000$$ people are convinced.So the total number of people convinced to vote by the fifth day is 100,000. The correct answer to the question, "How many people will be convinced to vote on the fifth day?" is:D. 100,000
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