The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]
What is exponential function?
An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.
Time period = x years
The number of archaeological sites discovered in a country in x years = S(x) = [tex]2(1.1)^{x}[/tex]
The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]
The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]
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