3. Suppose that you work with 2 cell cultures, X and Y. Culture X has a growth constant of 0.0125 day -1(exponent ni siya sa day) and a present population of 1200. Culture Y has a decay constant of magnitude 0.180 day -1(exponent ni siya) and a population of 1600.
a. Plot a graph of the populations of both cultures over the next days.
b. From your graph, estimate when the populations will be equal.
2006-06-09 22:17:06 · 3 answers · asked by Mary Eda 2 in Science & Mathematics ➔ Physics
If I understand the question (that "0.0125 day - 1" means 0.0125 day^-1 or 0.0125 per day), this is an exponential growth/decay problem.
Population X = 1200*1.0125^t
Population Y = 1600*0.82^t
where t is the number of days.
You can plot both of these for values of t ranging from 0 up. X will increase from 1200 and Y will decrease from 1600.
You can even solve for the equal-population time. At that time, 1200*1.0125^t = 1600*0.82^t. This means that t = (log(1600) - log(1200) ) / (log(0.82) - log(1.0125)). I get 1.36424 days.
2006-06-14 13:57:28 · answer #1 · answered by kirchwey 7 · 0⤊ 0⤋
Do you have a graphing calculator? If not, that makes this harder. Download MathGV.
Culture X = Y1
Culture Y = Y2
Assuming the 0.0125 per day is the amount, rather than the magnitude, you have Y1 = 1200 + ((0.0125 * x) - 1), where x = number of days.
Culture Y is the same, except Y2 = 1600 - ((0.180 * x) - 1)
Now enter the equations, and find the intercept of the two graphs.
2006-06-09 22:57:17 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Sounds like homework to me. Ask your professor to help you.
2006-06-20 03:32:14 · answer #3 · answered by ymcagimpy 2 · 0⤊ 0⤋