Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. if you were to write an exponential decay function to represent this situation, what would the initial value be?

Respuesta :

To write an exponential decay function to represent this situation,  the initial value be 0.925

y=a(1-b)^x

decay factor is 1-b <- and the part we care about

b is 7.5%=0.075

1-0.075

=0.925

In mathematics, exponential decay function  describes the process of decreasing quantity at a constant rate over a period of time. It can be represented by the formula y = a(1-b)x. where y is the final volume, a is the initial volume, b is the decay factor, and x is the elapsed time.

exponential decay function  have his two types: exponential growth and exponential decay. For a function f(x) = bx, when b > 1, the function exhibits exponential growth. For the function f(x) = bx, the function exhibits an exponential decay when 0 < b < 1.

Learn more about the exponential decay function  here: https://brainly.com/question/12900684

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