anonymous
  • anonymous
A climber is on a hike. After 2 hours she is at an altitude of 400ft. After 6 hours she is at an altitude of 700ft. What is her average rate of change? (I feel like this is a lot easier than I think but idk)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
texaschic101
  • texaschic101
would it make it any easier if you knew the average rate of change is also the slope
mathmale
  • mathmale
The "average rate of change" formula needed here is the same as that used for finding the slope of a straight line. You are given two points on the graph of a straight line: (2,400) and (6,700).
anonymous
  • anonymous
Yes! thanks, but I'm blanking on how to set up the equation... from there I could solve

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

texaschic101
  • texaschic101
slope = (y2 - y1) / (x2 - x1)
mathmale
  • mathmale
Find the slope of the line connecting these two points. That will also be your "average rate of change." Think back: What is the formula for the slope of a straight line when 2 points are given?
mathmale
  • mathmale
I'd use slightly fancier graphics, but the concept presented by texaschic is correct.
anonymous
  • anonymous
Would it be 4/2? (2)
mathmale
  • mathmale
\[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]
anonymous
  • anonymous
|dw:1449208699265:dw|
mathmale
  • mathmale
distance should be in the NUMERATOR, time in the DEONOMIATOR.
anonymous
  • anonymous
So 2/4? (1/2)
mathmale
  • mathmale
The average rate of change will have the dimensions ft/hr
texaschic101
  • texaschic101
slope = (y2 - y1) / (x2 - x1) (2,400)....x1 = 2 and y1 = 400 (6,700)...x2 = 6 and y2 = 700 now try again
anonymous
  • anonymous
3/4?
anonymous
  • anonymous
But that still isn't a rate of change, is it?
texaschic101
  • texaschic101
slope = (700 - 400) / (6 - 2) now what do you get...and be sure and reduce
mathmale
  • mathmale
B-B: Best way to contribute is to help Bunbun find his or her own answers.
mathmale
  • mathmale
Again, the proper units of measurement are feet/hours.
anonymous
  • anonymous
300/4 so that would be 75 right?
texaschic101
  • texaschic101
yes
anonymous
  • anonymous
Sorry I was making dumb mistakes :p Thanks for the help
texaschic101
  • texaschic101
well...it is actually 75 ft per hr....75/1
DanJS
  • DanJS
If you take any function and spread out the NET change evenly, you will have a constant rate of change between any two endpoints . the slope of a line connecting them |dw:1449208999747:dw|
DanJS
  • DanJS
that is the average of the changing rate of that curvy function over that interval|dw:1449209195494:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.