HELP PLEASE I WILL GIVE BRAINLIEST A bacteria colony doubles every 40 minutes. If the colony contains 10 bacteria at noon, how many bacteria are present at 6 pm?

A.180

B.512

C.810

D.900

E.5120

D

noon to 6 pm is 6 hours which is 360 minutes

divide 360 by 40 to get the number of times it doubles which is 9 times so it’ll be 2 to the ninth power (2 is there since your doubling the number of bacteria)

multiply that by 10 since that was how many bacteria there was at the beginning

10 x 2^9 = 5120

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places