All exponential functions can be written in many forms. Write the function f, of, t, equals, 44000, e, start superscript, minus, 0, point, 1, 2, t, end superscriptf(t)=44000e
−0.12t
in the form f, of, t, equals, a, b, start superscript, 6, t, end superscriptf(t)=ab
6t
. Round all coefficients to four decimal places.
The exponential function f(t) can be written in the form f(t) = ab^t, where b = e^(-0.12) and a = 44000.
To find the value of b, we need to calculate e^(-0.12):
b = e^(-0.12) ≈ 0.8859140402
Now we can rewrite the function in the form f(t) = ab^t:
f(t) = 44000 * 0.8859^t (rounded to four decimal places)