Answer:
[tex]y=38(\frac{1}{2})^x[/tex]
Step-by-step explanation:
x y
-2 152
-1 76
0 38
From the value of y we can see that the value are decreasing
152/2= 76
76/2= 38
So the table represents exponential equation
y=ab^x
Plug in x=0 and y = 38
38=ab^0
38=a
now find out b
Plug in -1 for x and 76 for y
76= ab^(-1)
76=38b^-1
b=1/2
So equation becomes [tex]y=38(\frac{1}{2})^x[/tex]
