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Chapter 10: Q58. (page 529)

The number of bacteria in a colony is growing exponentially.

How many bacteria were there at 7 P.M. that day?

Short Answer

Expert verified

The population of bacteria at 7 P.M. that day is1011929.

Step by step solution

01

Step 1. Given Information.

Given, the number of bacteria in a colony is growing exponentially as below:

An exponential function to model the population y of bacteria x hours after 2 P.M. is y=100210x

The number of bacteria that were there at 7 P.M. that day is to be determined.

02

Step 2. Explanation.

For 7 P.M.:

x=7鈭�2x=5

Plugging the value to in the equation:

y=100210xy=1002105y鈮�1011929

03

Step 3. Conclusion.

Hence the population of bacteria at 7 P.M. that day is 1011929.

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