Answer:
Option: B is the correct answer.
B) Decay, y- intercept = 3.4, rate is 34%
Step-by-step explanation:
We are given an exponential equation as follows:
![y=3.4(0.66)^x](https://tex.z-dn.net/?f=y%3D3.4%280.66%29%5Ex)
We know that any exponential function of the type:
![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
is growth function if: b>1
and is a decay function if 0< b< 1
Hence, here we have: b=0.66<1
Hence, the function is a decay function.
Also, we know that the y-intercept of a function is the point where x=0
Hence, we take x=0
we have: ![y=3.4\times (0.66)^0\\\\\\y=3.4](https://tex.z-dn.net/?f=y%3D3.4%5Ctimes%20%280.66%29%5E0%5C%5C%5C%5C%5C%5Cy%3D3.4)
Hence, the y-intercept is: 3.4
Also, the rate of a function is denoted by 'r'
where b=1-r
⇒ 0.66=1-r
⇒ r=1-0.66
⇒ r=0.34
Hence, the rate is: 34%
option: B is the correct answer.