contestada

a.
A student writes an explicit formula to represent the value of the
computer after n years below. What is the student's error? Explain. (2 points)
an= $1,500 (-15)n-1

Respuesta :

Using exponential function concepts, it is found that the student error is in the subtraction of the day rate, as he forgot to subtract from 100% = 1.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the initial value of the computer is of A(0) = 1500, while it decays at a rate of 15% a year, hence r = 0.15 and the equation is:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 1500(0.85)^t[/tex]

Or equivalently, as a sequence:

[tex]a_n = 1500(0.85)^{n-1}[/tex]

Hence, it is found that the student error is in the subtraction of the day rate, as he forgot to subtract from 100% = 1.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

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