Given:
The given function is
![F(t)=4 \cdot (1)/(2^(3 t))](https://img.qammunity.org/2021/formulas/mathematics/high-school/8cmzgbacb6t36uveuac4pyukrdtxfjebiq.png)
We need to determine the value of F(1)
Value of F(1):
The value of F(1) can be determined by substituting t = 1 in the function
![F(t)=4 \cdot (1)/(2^(3 t))](https://img.qammunity.org/2021/formulas/mathematics/high-school/8cmzgbacb6t36uveuac4pyukrdtxfjebiq.png)
Hence, substituting t = 1 in the function
, we get;
![F(1)=4 \cdot (1)/(2^(3 (1)))](https://img.qammunity.org/2021/formulas/mathematics/high-school/xtg0vswkczthymjzib8d5ldq059o1kfn0m.png)
Simplifying the values, we get;
![F(1)=4 \cdot (1)/(2^(3))](https://img.qammunity.org/2021/formulas/mathematics/high-school/8zvkbn68pjk4tbwwwasf9d7c7b5h04uxye.png)
Simplifying the denominator, we have;
![F(1)=4 \cdot (1)/(8)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/9vg0a940b0257xzj68m7yr1ts1bnm4s8t6.png)
Dividing the terms, we have;
![F(1)=(1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/7sbnvv2ys7dfxezgpkz0mujr2r9b1rqjd6.png)
Thus, the value of F(1) is
![(1)/(2)](https://img.qammunity.org/2021/formulas/physics/middle-school/ukxexrkoplrwscaxd96qbbkphc5fo6w2ur.png)
Hence, Option A is the correct answer.