To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 9.3%.

Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.

Write an exponential function showing the relationship between y and t.

Question

Mathematics

Brianna Patton

12 January, 16:18

To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 9.3%.

Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.

Write an exponential function showing the relationship between y and t.

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Answers (1)

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Eileen · Answer 1

The formula for exponential growth is:

Total = starting value x (1 + rate) ^ time

Using the information in the problem the formula would be:

y = 2300 (1.093) ^t

To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 9.3%.Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.Write an exponential function showing the relationship between y and t.

To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 9.3%.

Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.

Write an exponential function showing the relationship between y and t.