(N represents the number of weeks.)

PLEASE HELP! (My teacher assigned it as homework, but I have no idea what to do.)
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This is similar to compound interest. If the number of people infected is P to start with (P=22 in this case) then after one week the number of people infected is P(1+r), where r is the rate of infection (=17% or 0.17 in this case). At the end of the second week, the number of people infected rises to P(1+r)(1+r)=P(1+r)^2. After the third week it's P(1+r)^3 and so on. After N weeks it's P(1+r)^N. After 28 weeks it's 22*(1.17^28)=22*81.134=1785 people.

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Thank you so much!

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