In 2000 the population of Israel was appx 6.04 million and by 2050 is projected

Question

In 2000 the population of Israel was appx 6.04 million and by 2050 is projected to grow to 10 million. use exponential madel A=A oekt, in which t is the number years after 2000 to find an exponential growth functionthat models the data. In which year will Israel's population be 9 million? In 2000 the population of Israel was appx 6.04 million and by 2050 is projected to grow to 10 million. use exponential madel A=A oekt, in which t is the number years after 2000 to find an exponential growth functionthat models the data. In which year will Israel's population be 9 million?

Explanation / Answer

Alright, so first substitute in A and A(sub o). I am going to use 10 instead of 10 million and 6.04 instead of 6.04 million (the answer is the same). 10 = 6.04e^(50k). Divide 10 by 6.04. Take the natural log of both sides to get rid of e which will get you .5042 = 50k. Divide both sides by 50. k = .0101 or 1.01%. A = (Ao)e^(.0101t). To find when the population will be 9 million, the equation is first: 9 = 6.04e^(.0101t). Divide both sides by 6.04. Take the natural log of both sides to get rid of e. Now you have .3988 = .0101t. Divide both sides by .0101. t = 39.49. So in 2039 is when the population will be 9 million.

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