Time (hours) number of cells
0 200
.25 400
.5 800
.75 1600
1 3200

write the rule of the function that gives the number of c cells at time t hours.
c(t) =

I was thinking here of using the Monod Kinetics equation, however it seems that the given is lacking. So we will just use a first order growth kinetics since this is more commonly used. The derived first order kinetics for cell growth is

C = Co * e^(kt)

where

C = number of cells at any time
Co = initial number of cells
k = is the growth constant
t = time

in this case, Co is the number of cells at time t=0. The growth constant k is unknown. This can be obtained from the data given. We need to linearize the first order equation that is,

ln C = ln Co + kt

using the calculator or MS excel, obtain the slope (k) by plotting the ln (C) vs t. After doint that we can obtaine a k of 2.77 and therfore the equation is

C = 200*e^(2.77t)

The speed of  sound:   sound travels  at different speeds depending on what it istraveling through. of the three mediums (gas, liquid, and solid)  sound waves travel the slowest through  gases, faster  through  liquids, and fastest  through  solids.