A bacteria colony starts with 5 bacteria at the beginning and triples every hour. How would you write an explicit equation to model this situation?

A. f(x) = 3.5*

B. f(x) = 3x + 5

C. f(x) = 5x + 3

D. f(x) = 5.3%

B. f(x) = 3x + 5

Step-by-step explanation:

Initial amount of bacteria N0 = 5 bacteria's

If the triple every hour,

The increase in bacteria in the colony after x hour will be 3*x =3x

x is the amount of hour.

Total amount of bacteria in the colony after x hour will be N0 + 3x

Let f(x) be the total amount of bacteria in the colony after x hour

f(x) = N0+3x

Since N0 = 5

f(x) = 5+3x

Re-arrange

f(x) = 3x + 5

Hence an explicit formula to model the equation is f(x) = 3x + 5

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation:

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.