Question

In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 hours, to the nearest whole number?

Answer 1

after 13 hours, there would be approximately 1,252 bacteria in the petri dish.

Step-by-step explanation:

Here are the steps to solve this problem:

Identify the given information. We are told that there are 830 bacteria in a petri dish and that the number of bacteria can double every 28 hours.

Write the formula for exponential growth. In this case, we are dealing with exponential growth because the number of bacteria is doubling over time. The formula for exponential growth is:

N = N0 * 2^(t/k)

where N0 is the initial amount, N is the amount after time t, and k is the time it takes for the amount to double.

Substitute the given values into the formula. We can plug in N0 = 830, t = 13, and k = 28 into the formula to get:

N = 830 * 2^(13/28)

Solve the equation. We can use a calculator or perform the calculation by hand to get:

N ≈ 1,251.7

Round to the nearest whole number. Since we're asked to round to the nearest whole number, we can look at the decimal part of the answer and round up or down as appropriate. In this case, the decimal part is 0.7, which is greater than or equal to 0.5, so we round up to get:

N ≈ 1,252

Therefore, after 13 hours, there would be approximately 1,252 bacteria in the petri dish.

Answer 2

Answer: 1145

Step-by-step explanation:

The formula we use is

y = a*2^(x/b)

where,

• a = starting amount = 830
• b = doubling time = 28

So we update things to get y = 830*2^(x/28)

The last step is to plug in x = 13 to get

y = 830*2^(13/28) = 1145.09631988669 approximately

That rounds to 1145 when rounding to the nearest whole number.