Question

A strain of bacterial cells doubles inpopulation every 2 days. A single cell is placed in a dish with sufficient nutrients to sustain a colony. Which equation will
calculate d, the number of days after which there will be 256 bacterial cells in
the dish?

Answer 1

The equation that will calculate the number of days after which there will be 256 bacterial cells in the dish is 2^(d/2) = 256

How to determine the equation of the number of days?

The given parameters are:

Rate, r = doubles every two days

Initial number of strain, a = 1

This means that the function is an exponential function.

An exponential function is represented as:

A(d) = a * r^d

Since the strain doubles every two days, we have:

A(d) = a * r^(d/2)

Substitute the known values in the above equation

A(d) = 1 * 2^(d/2)

Evaluate the product

A(d) = 2^(d/2)

When there are 256 bacterial cells, the equation becomes

2^(d/2) = 256

Hence, the equation that will calculate the number of days after which there will be 256 bacterial cells in the dish is 2^(d/2) = 256

Read more about exponential functions at:

brainly.com/question/2456547

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