B
Step-by-step explanation:
Exponential function
represents
exponential growth if
![b1;](/tpl/images/0447/1769/8d4c8.png)
exponential decay if
![0](/tpl/images/0447/1769/45ea5.png)
Consider all options:
A. In the exponential function ![y=(0.25)^x,](/tpl/images/0447/1769/623f9.png)
![b=0.25](/tpl/images/0447/1769/e27d5.png)
so it represents exponential decay.
B. In the exponential function ![y=7^x,](/tpl/images/0447/1769/24465.png)
![b=71,](/tpl/images/0447/1769/be3f8.png)
so it represents exponential growth.
C. In the exponential function ![y=\dfrac{1}{3}(0.1)^x,](/tpl/images/0447/1769/9f7b8.png)
![b=0.1](/tpl/images/0447/1769/88faa.png)
so it represents exponential decay.
D. In the exponential function ![y=\left(\dfrac{2}{3}\right)^x,](/tpl/images/0447/1769/6bc0c.png)
![b=\dfrac{2}{3}](/tpl/images/0447/1769/8f120.png)
so it represents exponential decay.