In a experiment, it was found that the population of a bacterial colony doubles every 10 minutes. The following function represents the number of bacteria in the colony after x minutes. 3(2)^x/10

Which statements are true?

- The expression reveals that the population of the bacterial colony increases by 200% every 10 minutes.

- The expression (1,024)x reveals the approximate rate of increase in the population of the bacterial colony per minute.

- The expression (1.07)x reveals the approximate rate of increase in the population of the bacterial colony per minute.

- The expression (1,024)x reveals the approximate rate of increase in the population of the bacterial colony per hour.

- The expression reveals that the population of the bacterial colony increases by 100% every 10 minutes.

- The expression (0.93)x reveals the approximate rate of increase in the population of the bacterial colony per minute.

Options A and B are true

Step-by-step explanation:

In this question it is given that population of a bacterial colony doubles every 10 minutes and the function that represents the number of bacteria in colony after x minutes is  

Now we check each option given

A. The expression  reveals the population of the bacterial colony increases by 100% every 10 minutes.

Let's check by putting x = 10

Here after 10 minutes initial population which was 3 got doubled to 6. So option A is true.

B. Expression  reveals the approximate rate of increase in the population of the bacterial colony per minute.

Let's solve the expression

Option B is true.

answer: 20

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.