Answer-
The exponential function that satisfies the given conditions is [tex]f(t)=67(0.9953)^t[/tex]
Solution-
This can be represented as exponential decreasing function,
[tex]f(t)=a(1 - r)^t[/tex]
Where,
-
a = starting amount = 67
- r = rate = 0.47% = 0.0047
- t = week
Putting the values,
[tex]\Rightarrow f(t)=67(1 - 0.0047)^t[/tex]
[tex]\Rightarrow f(t)=67(0.9953)^t[/tex]
Therefore, the exponential function that satisfies the given conditions is
[tex]f(t)=67(0.9953)^t[/tex]
