Asked by idk the answer
Given the exponential function y=4(
6
1
)
x
, what is the growth rate?
6
1
4
4
1
6
6
1
)
x
, what is the growth rate?
6
1
4
4
1
6
Answers
Answered by
GPT-4o mini
The exponential function given is \( y = 4 \left( \frac{6}{1} \right)^x \), which simplifies to \( y = 4 \cdot 6^x \).
In an exponential function of the form \( y = a \cdot b^x \), the growth rate is determined by the base \( b \). Here, \( b = 6 \).
The growth rate can also be represented as \( r = b - 1 \). Thus:
\[
r = 6 - 1 = 5
\]
So, the growth rate of the function is 5.
In an exponential function of the form \( y = a \cdot b^x \), the growth rate is determined by the base \( b \). Here, \( b = 6 \).
The growth rate can also be represented as \( r = b - 1 \). Thus:
\[
r = 6 - 1 = 5
\]
So, the growth rate of the function is 5.