Answer:
[tex]16*(\frac{1}{2})^x[/tex]
Step-by-step explanation:
our equation will look something like this
abˣ=y
We can write the two equations
4=ab²
and
2=ab³
we can divide the second equation by the first and get
[tex]\frac{2}{4}=\frac{ab^3}{ab^2}\\\\=.5=b\\[/tex]
Now that we know what b equals we can plug that value in and solve for a
[tex]4=a*.5^2\\\\a=16[/tex]