Bacteria usually reproduce by a process called binary fission. in this type of reproduction, one bacterium divides to form two bacteria. under ideal conditions, some bacteria reproduce every 15 minutes. find the constant k for this type of bacteria under ideal conditions. assume t is in minutes.

Explanation:

Given-

A bacteria reproduces after every fifteen minutes.

Thus, after every fifteen minutes, the bacterial population will get double.

Now as we know that

Here,

represents the population after time t

 represents the initial population

Substituting the given values in above equation we get -

On solving we get -

complete the square on the right side of the equation;

-5(x + 0)^2 + 15

answer: d. y = -x^2 + 15

instead of copying and pasting things off of tests or work done on computer which im sure you did, try and read over the question carefully