The term [tex]\frac{6}{x}[/tex] describes the time it takes Amy to hike to the waterfall.
The correct answer is an option (C)
"It is defined as the distance traveled per unit times."
"It defines a relation between input values and output values."
For given example,
Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back.
we have been given a function [tex]T(x)=\frac{6}{x}+\frac{6}{x+1}[/tex]
This function represents Amy's total time spent hiking,
and x represents Amy's hiking speed in miles/hour.
Let 't' be the time required to reach Amy from ranger hills to a waterfall.
As 'x' represents Amy's hiking speed in miles/hour and Amy hikes 6 miles from a ranger station to a waterfall.
Using the formula of speed,
⇒ x = 6/t
⇒ t = 6/x
Therefore, the term [tex]\frac{6}{x}[/tex] describes the time it takes Amy to hike to the waterfall.
The correct answer is an option (C)
Learn more about the speed here:
https://brainly.com/question/4926312
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