Question

A scientist has started a bacteria culture with 1,000 cells. The cells will double every hour. 1. Write the sequence that represents the number of bacteria cells over the first 4 hours.2. What is the common ratio of the sequence that represents the growth of the bacteria cells?3. How many bacteria cells will there be after 7 hours?4. During what hour will the number of bacteria cells exceed one million?

Answer 1

Answer:

See below in bold.

Step-by-step explanation:

1.   The sequence is 1000, 2000, 4000, 8000.

2.  The common ratio  is 2000/1000 = 2.

3.   Number of bacteria after 7 hours is 1000(2)^(7- 1)

    = 64,000.

4.   1000(2)^(x-1)  > 1,000,000

2^x-1  > 1000

x- 1  log 2 > log 10

x- 1 > 9.96

x > 10.96

During the 11th hour.