Question

what base could be written in the blank to make the exponential function model 15% decay ? y= (___) ^t\12

Answer 1

The base of the exponential function model in order to get 15% decay should be 0.85

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation.

The first step would be figuring out the function's base.

The function's form should be, $y=a*b^{t}$

Here,

'a' denotes the starting value.

'b' denotes the decrease rate.

't' denotes time.

According to the question, the exponential function model is,

$y=b^{\frac{t}{12} }$

In order to get a 15% decay,

The base of the function should be (100-15)/100 = 0.85

Thus, Base of function(b) = 0.85

The exponential function model is written as:

$y=0.85^{t/12}$

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