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Answer :
Rounded to the nearest whole number, the estimated number of bacteria after 35 hours would be 2860.
To find the growth rate per hour, you can calculate the difference in the number of bacteria over the given time:
Initial number of bacteria = 125
Final number of bacteria = 2000
Time = 24 hours
Growth per hour = (Final number of bacteria - Initial number of bacteria) / Time
Growth per hour = (2000 - 125) / 24
Now, to find the number of bacteria after 35 hours:
Number of bacteria after 35 hours = Initial number of bacteria + (Growth per hour * Time)
Number of bacteria after 35 hours = 125 + ((2000 - 125) / 24) * 35
Let's calculate:
Growth per hour = (2000 - 125) / 24
Growth per hour = 1875 / 24 ≈ 78.125
Number of bacteria after 35 hours ≈ 125 + (78.125 * 35)
Number of bacteria after 35 hours ≈ 125 + 2734.375
Number of bacteria after 35 hours ≈ 2859.375
Rounded to the nearest whole number, the estimated number of bacteria after 35 hours would be 2860.
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