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A colony of bacteria is growing at a rate of 50% per hour.


If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours?

1139 bacteria

Respuesta :

coolstick

Answer:

1139

Step-by-step explanation:

The exponential growth rate formula is as follows:

F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have

A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get

F = 100(1+0.5)^6 = 1139