A certain Illness is spreading at a rate of 10% per hour. How long will it take to spread to 1,200 p | MathCelebrity Forum

A certain Illness is spreading at a rate of 10% per hour. How long will it take to spread to 1,200 p

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A certain Illness is spreading at a rate of 10% per hour. How long will it take to spread to 1,200 people if 3 people initially exposes? Round to the nearest hour.

Let h be the number of hours. We have the equation:
3 * (1.1)^h = 1,200

Divide each side by 3:
1.1^h = 400

Type this equation into our search engine to solve for h:
h = 62.86

To the nearest hour, we round up and get h = 63
 
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