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
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.