Mathematics: A certain bacteria population increases continuously at a rate proportional to its current number. The initial population of the bacteria is 70. The population increases to 360 bacteria in 4 hours. Approximately how many bacteria are there in 7 hours? Round your answer to the nearest whole number.

Umm... I am not sure about this answer, but is it matter?...

A certain bacteria population increases continuously

cupcake3103670

23.01.2022

Step-by-step explanation:

B = 70 × r^t

360 = 70 × r⁴

r⁴ = 36/7

4lnr = ln(36/7)

lnr = 0.4094021974

r = e^0.4094021974

r = 1.505917275

At t = 7,

B = 70 × (1.505917275)⁷

B = 1229.435775

Approximately 1229

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