A bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the bacterial population after 80 minutes.

Find the size of the bacterial population after 10 hours.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

tip $2.90

total $17.40

0.038

step-by-step explanation: