Pregunta
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
growth or decay, and determine the percentage rate of increase or decrease.
Ask by Lyons Bowers. in the United States
Nov 12,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The function represents exponential growth with a rate of
.
Solución

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Como
The Deep Dive
The function provided,
, represents exponential growth because the base of the exponent,
, is greater than 1. This indicates that as
increases, the value of
will also increase.
To determine the percentage rate of increase, we can look at the growth factor. The growth factor here is 1.01, which corresponds to a 1% increase since
or
in decimal form. So, the change in this function shows a consistent increase of 1% for every unit increase in
.

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