A bacterial population exhibits growth according to the exponential model P(t)=200 times 1.15^t, where t repre

Question

A bacterial population exhibits growth according to the exponential model P(t)=200 times 1.15^t, where t represents time in hours. Calculate the population of 8 hours. A. APPROXIMATELY 532 BACTERIA. B. APPROXIMATELY 612 BACTERIA. C. APPROXIMATELY 1,840 BACTERIA. D. APPROXIMATELY 704 BACTERIA.

GPT-5 mini · Answer

P(8) = 200 × 1.15^8.  
1.15^8 ≈ 3.059, so P(8) ≈ 200 × 3.059 = 611.8 ≈ 612 bacteria.

Answer: B.

A bacterial population exhibits growth according to the exponential model P(t)=200 times 1.15^t, where t represents time in hours. Calculate the population of 8 hours. A. APPROXIMATELY 532 BACTERIA. B. APPROXIMATELY 612 BACTERIA. C. APPROXIMATELY 1,840 BACTERIA. D. APPROXIMATELY 704 BACTERIA.

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