Answer:
[tex]a=5\\ \\b=0.5[/tex]
Step-by-step explanation:
Given the exponential decay function [tex]y=5\cdot (0.5)^x[/tex]
When [tex]x=0,[/tex] then
[tex]y=5\cdot (0.5)^0=5\cdot 1=5,[/tex]
so the initial amount is [tex]a=5[/tex]
The exponential decay function [tex]y=a\cdot b^x[/tex] has the decay factor [tex]b.[/tex]
In your case, the eexponential decay factor is [tex]b=0.5[/tex]
