Solution:
Given:
[tex]f(x)=5\cdot(\frac{1}{2})^x[/tex]
f(4) means substitute x = 4 into the function
Hence,
[tex]\begin{gathered} f(4)=5\cdot(\frac{1}{2})^4 \\ f(4)=5\times(\frac{1}{2})^4 \\ f(4)=5\times\frac{1^4}{2^4} \\ f(4)=5\times\frac{1}{16} \\ f(4)=\frac{5}{16} \end{gathered}[/tex]
Therefore, the correct answer is OPTION A.
