Given the exponential function y=4(

Question

6
1
​
)
x
, what is the growth rate?

6
1
​


4

4
1
​


6

Answer 1

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.