An exponential function, f(x), passes through the points (2,5) and (8,20). Determine the value of f(25) to the nearest integer.

assume: f(x) = A(bx); then: f(8) = A(b8) = 20;

and: f(2) = A(b2) = 5

dividing the first equation by the second equation gives: b6 = 4; or: b = 4(1/6) = 1.26;

then: A(1.262) = 5; or: A = 5/(1.262) = 3.15; then: f(x) = 3.15(1.26x);

so that: f(25) = 3.15(1.2625) = 1017.6 ---> 1018

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what are the things "represented below"?

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nobody can if you dont give the choices

the answer is d

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