The explicit rule of the race is f(n) = 2^n
How to determine the explicit function?
The given parameters are:
Week Miles
1 2
2 4
3 8
Calculate the common ratio using
r = f(2)/f(1)
This gives
r = 4/2
r = 2
The explicit rule is then calculated as:
[tex]f(n) = f(1) * r^{n-1}[/tex]
This gives
[tex]f(n) = 2 * 2^{n-1}[/tex]
Evaluate the product
[tex]f(n) =2^{n-1+1}[/tex]
Evaluate the sum
[tex]f(n) =2^n[/tex]
Hence, the explicit rule of the race is [tex]f(n) =2^n[/tex]
Read more about exponential functions at:
https://brainly.com/question/11487261
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