QuestionJune 5, 2025

6. A scientist observed that a certain species of bacteria grew by 35% each hour. How many bacteria will be present after 24 hours if there were 73 initially? Give your answer to the nearest whole number. =Enter your next step here bacteria

6. A scientist observed that a certain species of bacteria grew by 35% each hour. How many bacteria will be present after 24 hours if there were 73 initially? Give your answer to the nearest whole number. =Enter your next step here bacteria
6.
A scientist observed that a certain species of bacteria grew by 35%  each hour. How many bacteria will be present after 24 hours if there were 73
initially? Give your answer to the nearest whole number.
=Enter your next step here bacteria

Solution
4.6(230 votes)

Answer

4,882,231 bacteria Explanation 1. Identify the Growth Formula Use the exponential growth formula: N = N_0 \times (1 + r)^t, where N_0 is the initial amount, r is the growth rate, and t is time. 2. Substitute Values Here, N_0 = 73, r = 0.35, and t = 24. Substitute these into the formula: N = 73 \times (1 + 0.35)^{24}. 3. Calculate the Result Compute N = 73 \times 1.35^{24} using a calculator for precision.

Explanation

1. Identify the Growth Formula<br /> Use the exponential growth formula: $N = N_0 \times (1 + r)^t$, where $N_0$ is the initial amount, $r$ is the growth rate, and $t$ is time.<br /><br />2. Substitute Values<br /> Here, $N_0 = 73$, $r = 0.35$, and $t = 24$. Substitute these into the formula: $N = 73 \times (1 + 0.35)^{24}$.<br /><br />3. Calculate the Result<br /> Compute $N = 73 \times 1.35^{24}$ using a calculator for precision.
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