Question

All exponential functions can be written in many forms. Write the function f, of, t, equals, 780, left bracket, 0, point, 9, 5, right bracket, start superscript, 25, t, end superscriptf(t)=780(0.95)
25t
in the form f, of, t, equals, a, b, to the power t f(t)=ab
t
. Round all coefficients to four decimal places.

Answer 1

The given exponential function can be written in the form f(t) = ab^t, where a = 780 and b = 0.95^25.
Now, let's calculate the value of b to four decimal places:

b = 0.95^25 = 0.6104

Therefore, the exponential function can be written as:

f(t) = 780 * (0.6104^t)