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.
2 answers:
Answer:
C
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
Answer: C
Step-by-step explanation:
This describes an expotential function
At t = 0, P = 70
Therefore, C = 70
P = 70 e^kt
Solve for k by plugging in (4,360)
k = 0.4094
plug in t(7 hours)
70 e^(0.4094*7)
The answer roughly equals C
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