A map using the scale of 3/4 of an inch to aubergine 3 miles if the actual distance between two cities is 25 miles then what is
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Let r be a radius of a given circle and α be an angle, that corresponds to a sector.
The circle area is
and denote the sector area as 
.
Then
(the ratio between area is the same as the ratio between coresponding angles).
.
The circle area is
Then
Function transformation involves changing the form of a function
The function g(x) is
The function is given as:
g(x) is an exponential function that passes through points (-2,2) and (-1,4).
An exponential function is represented as:
At point (-2,2), we have:
At point (-1,4), we have:
Divide both equations
Simplify
Apply law of indices
Rewrite as:
Substitute 2 for b in
This gives
Multiply both sides by 4
Substitute 8 for (a) and 2 for (b) in
Express as a function
Hence, the function g(x) is
Read more about exponential functions at: