answer : y=6(1/3)^x, option C
Decay curve means when x value increases the y value will decrease.
We plug in 3 values for x and check the y value
Lets start with first option
[tex] y=2(4)^x [/tex]
x=0 , y= 2
x=1, y= 8
x=2, y=32
when x value increases the y value also increases. so option A is not a decay curve
[tex] y=3^x -4 [/tex]
x=0 , y= -4
x=1 , y= -1
x=2 , y = 5
when x value increases the y value also increases. so option B is not a decay curve.
[tex] y= 6(\frac{1}{3})^x [/tex]
x=0, y = 6
x=1, y = 2
x=2 , y= 0.67
when x value increases the y value decreases. so option C is a decay curve
