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Exponential Growth Functions Answers

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What did you include in your response? Check all that apply.

A
The full bottle doubled after 5 minutes.
B
The 2 full bottles doubled after 5 minutes.
C
Exponential growth is a multiplicative rate of change.
3

[___]

A
10:15 a.m.
B
10:20 a.m.
C
10:25 a.m.
D
10:30 a.m.
4

Question text not available

Answer not available
5

Which statements help explain this result? Check all that apply.The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.The bottle was 1/2 full at 11:35 a.m. and more bacteria were added to fill the bottle.Exponential growth involves a constant multiplicative rate of change.Exponential growth involves a constant additive rate of change.

A
The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
B
The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
C
The bottle was 1/2 full at 11:35 a.m. and more bacteria were added to fill the bottle.
D
Exponential growth involves a constant multiplicative rate of change.
E
Exponential growth involves a constant additive rate of change.
6

Use the fact that the bacteria is doubling every five minutes. What fraction of the bottle was full at 11:20 a.m.?

A
Option
B
Option
C
Option
D
Option
7

[___]

A
There are 15 bacteria cells after 8 minutes.
B
There are 15 bacteria cells after 8 hours.
C
There are 8 bacteria cells after 15 minutes.
D
There are 8 bacteria cells after 15 hours.
8

⇒ 10

Answer:

77463

9

The bacteria took 1 hour and 40 minutes to fill the initial bottle. Explain how it only took 10 minutes to fill 3 additional empty bottles.

Answer:

Because the bacteria growth is exponential, the number of cells doubles at a constant rate. While it took a long time to reach the volume of one bottle starting from a single cell, once the bottle was full, all those cells doubled simultaneously. If the doubling time is 5 minutes, the one full bottle would produce enough cells to fill a second bottle in just 5 minutes. Then, those two full bottles would double again in the next 5 minutes, producing enough cells to fill two more bottles (for a total of four bottles) in only 10 minutes total.

11

[___]

A
10:20 a.m.
B
10:25 a.m.
C
10:30 a.m.
D
10:35 a.m.

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