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.Assuming no cells die, how many cells will have grown in each culture by the end of the seventh day?
Answer
A
Culture A: 1400 cellsCulture B: 713 cells
B
Culture A: 800 cellsCulture B: 517 cells
C
Culture A: 713 cellsCulture B: 1400 cells
D
Culture A: 517 cellsCulture B: 800 cells
Explanation
Culture A gains 200 cells each day, so in 7 days it gains 7 × 200 = 1,400 cells. Culture B grows by 8% each day, so its increase is 1,000 × (1.08⁷ − 1) ≈ 713.8 cells, or about 714. This matches choice A, which lists the increase as 713 cells (truncated).
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