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------------------------------------------------ The bacteria population grew from 125 to 2000 in 24 hours. If the growth rate remains constant, how many bacteria will there be in 35 hours?

A) 2800
B) 3150
C) 3125
D) 4000

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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