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A bicyclist is riding on a path modeled by the functions f(x) = 0.08x, when x and f(x) are measured in miles. Find the rate of change of elevation at x = 2.
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take derivative 0.08x
I got it, i got the answer to be .08 as rate of change, and change in elevation is .16 mi
no, it is .08 constant through out
what does that mean
so its just .08 mi as answeR?
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yes
ok
since " i got the answer to be .08 as rate of change" it does not depend on x
In case it's not clear: \[y=mx+b\]m is the slope (rate of change) and b is the y-intercept. In your question, \[y=(0.08)x+0\] The rate of change, regardless of the value of x, will be 0.08 since the slope doesn't change on a line.
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