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Identify the initial amount a and the growth or decay factor b in the exponential function.

y = 0.01025x


A. a = 100, b = 1.025

B. a = 1, b = 0.01025

C. a = x, b = y

D. a = 0.01025, b = 1

Answer :

Xero099go

Answer:

D. [tex]a = 0.01025[/tex], [tex]b = 1[/tex]

Step-by-step explanation:

Mathematically speaking, an exponential function is a trascendental function of the form:

[tex]y = a^{b\cdot x}[/tex] (1)

Where:

[tex]a[/tex] - Initial amount.

[tex]b[/tex] - Growth factor.

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

Let [tex]y = 0.01025^{x}[/tex], by direct comparison we find that values for initial amount and growth factor are, respectively:

[tex]a = 0.01025[/tex], [tex]b = 1[/tex]

Therefore, correct answer is D.

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