All exponential functions can be written in many forms. Write the function f, of, t, equals, 340, e, start superscript, 0, point, 0, 1, t, end superscriptf(t)=340e
0.01t
in the form f, of, t, equals, a, b, to the power t f(t)=ab
t
. Round all coefficients to four decimal places.
The function f(t) can be written in the form f(t) = ab^t, where a ≈ 340 and b ≈ e^0.01.
Rounding a to four decimal places gives a ≈ 340.0000.
Rounding b to four decimal places gives b ≈ e^0.01 ≈ 1.0101.
Therefore, the function f(t) in the form f(t) = ab^t, rounded to four decimal places, is f(t) = 340.0000 * (1.0101)^t.