Paul and Scott are solving .
Who is correct? Explain your reasoning.
Scott is correct.
The solution for by Paul and Scott is below.
And who among Paul and Scott is correct is to be determined.
The function is an exponential function and the equivalent logarithmic form is given by .
In Paul solving the equation, in the second step is directly replaced by which is not possible.
And the Scott’s solution is correct.
Hence, Scott is correct.
Every ten years, the Bureau of the Census counts the number of people living in the United States. In 1790, the population of the U.S. was 3.93 million. By 1800, this number had grown to 5.31 million.
Assume that the U.S. population continued to grow at that rate. Estimate the population for the years 1820, 1840, and 1860. Then compare your estimates with the actual population for those years, which were 9.64, 17.06 and 31.44 million, respectively.
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