Cellular growth leticia cox is a biochemist. she is testing two different types of drugs that induce cell growth. she has selected two cultures of 1000 cells each. to culture a, she administers a drug that raises the number of cells by 200 each day and every day thereafter. culture b gets a drug that increases cell growth by 8% each day and everyday thereafter. a. assuming no cells die, how many cells will have grown in each culture by the end of the seventh day? b. at the end of one month’s time, which drug will prove to be more effective in promoting cell growth? explain

a) The number of cells of Culture A = 2400 and The number of cells of Culture B = 1714.

b) After one month drug B will be more effective in promoting cell growth.

Step-by-step explanation:

We have, Initial number of cells in both the culture = 1000.

Let, the number of days = x

For Culture A, she increases the number of cells by 200 each day.

Thus, the number of cells =

For Culture B, she increases the number of cells by 8% i.e. by 0.08 each day.

Thus, the number of cells =

i.e. The number of cells = .

Part a): We need to find the number of cells by the end of 7th day.

So, we substitute x = 7 in each of the equation.

For Culture A,

The number of cells =

i.e. The number of cells =

i.e. The number of cells of Culture A = 2400

For Culture B,

The number of cells =

i.e. The number of cells =

i.e. The number of cells of Culture B = 1714.

Part b): We need to find the effective drug for promoting cell growth after 1 month i.e. 30 days.

So, we substitute x = 30 in the equations.

For Culture A,

The number of cells =

i.e. The number of cells of Culture A = 7000

For Culture B,

The number of cells =

i.e. The number of cells =

i.e. The number of cells of Culture B = 10,063

So, we get that after 1 month, Culture B has increased more number of cells than Culture A.

Thus, after one month drug B will be more effective in promoting cell growth.