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The amount of bacteria in a culture after some t hours is given by the function f(t) = pekt where p is a constant. What is the number of bacteria after 8 hours?
(1) There were approximately 275 bacteria after 2 hours
(2) k = 0.16
- a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.
- b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.
- c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- d)EACH statement ALONE is sufficient.
- e)Statements (1) and (2) TOGETHER are not sufficient.
Correct answer is option 'C'. Can you explain this answer?
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The amount of bacteria in a culture after somethours is given by the f...
The correct answer is: C)
(1) From the function, f(t) = pekt, when t = 2,f(t) = 275. The equation becomes pe2k = 275. This is one equation in two unknowns, hence, we cannot solve it. More information is required; NOT SUFFICIENT.
(2) When k = 0.16, we have f(t) = pe0.16t. In this case, p is unknown, hence more information is required; NOT SUFFICIENT.
Considering the two cases, we have pe2k = 275 and f(t) = pe0.16t which reduced to pe2(0.16) = 275. We solve the equation
We now solve the equation
When t = 8, we have
When t = 8, we have
f(8) = 11.21e0.16(8) = 11.21e1.28 = 40.32
The correct answer is C; BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
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The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer?
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The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2023 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer?.
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