Question

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 every day thereafter.

At the end of one month's time, which drug will prove to be more effective in promoting cell growth?
a.
Culture A
b.
Culture B

Answer 1

Culture A, which receives a drug that raises the number of cells by 200 each day, is more effective in promoting cell growth compared to Culture B, which receives a drug that increases cell growth by 8% each day.

Step-by-step explanation:

To determine which drug is more effective in promoting cell growth, we can compare the total number of cells in Culture A and Culture B after one month.

In Culture A, the number of cells increases by 200 each day. So after one month (30 days), the total number of cells in Culture A would be: 1000 + (200 * 30) = 1000 + 6000 = 7000 cells.

In Culture B, the number of cells increases by 8% each day. To calculate the total number of cells after one month, we can multiply the initial number of cells (1000) by 1.08 (because 100% + 8% = 108%) raised to the power of 30 (the number of days in a month). So, the total number of cells in Culture B would be: 1000 * (1.08^30) = 1000 * 5.7474 = 5747.4 cells (rounded to the nearest whole number).

Therefore, Culture A is more effective in promoting cell growth as it has a higher total number of cells (7000) compared to Culture B (5747).