Write the rule for the table. You have three attempts to match the graph.

hours #of bacteria
1 32
2 256
3 2048
4 16384
5 131072
6 1048576

Step-by-step explanation:

Since, growth in the population of the bacteria is an exponential process,

Formula to get the population of the bacteria after 't' hours is,

From the table given,

After 1 hour, number of bacteria = 32

32 = ------- (1)

After 2 hours, number of bacteria = 256

256 = ------ (2)

Divide equation (2) by equation (1)

b = 8

From equation (1)

32 = 8(A₀)

A₀ = 4

Therefore, rule for the table will be,

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: