One day a student comes to school sick and infects two students. The next day each of the two infected students come to school and infect four additional students. At this rate, how many days will it take to infect all 500 students in the school? Create an equation.

Question

Mathematics

Isabelle Murphy

2 October, 16:51

One day a student comes to school sick and infects two students. The next day each of the two infected students come to school and infect four additional students. At this rate, how many days will it take to infect all 500 students in the school? Create an equation.

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Answers (1)

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Dinky · Answer 1

2x=500

Step-by-step explanation:

Let x be the number of days.

Since there is a pattern, that 1 person is infected and infects two. Then two infects 4.

So it will be 2x. Since everyday it goes up.

Then, since there are 500 students in the school and the question asks for how many days, it will equal 500.