The Population of a Region for 2000 Is 19 $y = C e ^ { k t }$

question 49

Multiple Choice

The population of a region for 2000 is 19.5 (in millions) . The predicted population (in millions) for the region in the year 2020 is 24. Find the constants C (to one decimal place) and k (to four decimal places) to obtain the experimental growth model $y = C e ^ { k t }$ for the population. (Let $t = 0$ correspond to the year 2000.)

• A) \(y = 19.5 e ^ { 0.0045 t }\)
• B) \(y = 7.2 e ^ { 1.2076 t }\)
• C) \(y = 19.5 e ^ { 0.2076 t }\)
• D) \(y = 19.5 e ^ { 0.0104 t }\)
• E) \(y = 7.2 e ^ { 0.0604 t }\)

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