answer the following essay question:
Explain how to rewrite f(t) = 35 x 1.04^4t in f(x) = a times b^x form. Why might you do this?


Answer :

Expressing as a standard exponential form will give [tex]y=35(1.1698)^t[/tex]

How to write an exponential function

Given the following exponential function given as [tex]g(t) = 35 \times 1.04^{4t}[/tex]

You are to write in standard notation form of [tex]y = ab^x[/tex]

Write in a standard form

Expressing in standard notation, we will have:

[tex]g(t) = 35 \times 1.04^{4t}\\g(t) = 35 \times (1.04^4)^t\\g(t) = 35 \times(1.1698)^t[/tex]

Expressing as a standard exponential form will give [tex]y=35(1.1698)^t[/tex]
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