Inicio
/
Matemáticas
/
Given the Following Exponential Function , Identify U Represents Growth or Decay,and Determine the Perc Increase or Decrease.

Problemas

Given the following exponential function , identify u represents growth or decay,and determine the perc increase or decrease. y=25(1.071)^x Answer Attempt 1 out of 2

Roztwór

Gustavo élite · Tutor durante 8 años
Weryfikacja ekspertów
4.4 (205 Votos)

Respuesta

The function represents growth, and the percentage increase is 107.1%.

Explicación

## Step 1The given function is \(y=25(1.071)^{x}\). This is an exponential function, which is generally represented in the form , where is the initial amount, is the growth factor, and is the time.## Step 2In this function, the base of the exponent, which is 1.071, is greater than 1. This indicates that the function represents growth.## Step 3The base of the exponent, 1.071, can also be interpreted as a percentage increase. To convert a decimal to a percentage, we multiply by 100. Therefore, 1.071 is equivalent to a 107.1% increase.