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anonymous
 one year ago
4 questions help please
anonymous
 one year ago
4 questions help please

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Hero
 one year ago
Best ResponseYou've already chosen the best response.0@dom4958, what are your thoughts regarding this problem? Are you familiar with the rate of change formula?

Hero
 one year ago
Best ResponseYou've already chosen the best response.0The average rate of change of a function \(f(x)\) over an interval between two points \((a, f(a))\) and \((b, f(b))\) is the slope of the secant line connecting the two points: \(\dfrac{f(b)  f(a)}{b  a}\) In this case, \(a = 3\) and \(b = 9\). What you want to do is find \(f(3)\) and \(f(9)\), then plug all the values in to the formula and simplify the expression which will give the average rate of change for this problem.

Hero
 one year ago
Best ResponseYou've already chosen the best response.0If you notice the values along the \(y\) axis represent \(f(x)\) values because for functions \(y = f(x)\). In this case, \(f(3) \approx 47.25\) and \(f(9) \approx 27\).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Hero what would i do with the f(3)≈41.25?

Hero
 one year ago
Best ResponseYou've already chosen the best response.0Start with the formula for average rate of change: \(\dfrac{f(b)  f(a)}{b  a}\). We already acknowledged that \(a = 3\) and \(b = 9\)so plug in those values in place of \(a\) and \(b\): \(\dfrac{f(9)  f(3)}{9  3}\). Next plug in the appropriate values for \(f(3)\) and \(f(9)\), then simplify.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.024.75  45.25 = 70 over 70. 7 over 7?

Hero
 one year ago
Best ResponseYou've already chosen the best response.0Make sure you have the numbers written correctly. For example 9  3 = 6 and f(3) = 41.25

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0whats wrong with the ones i wrote isn't that correct? 24.75  45.25 = f(70)= f(7) 24.75  45.25 = 70= 7

Hero
 one year ago
Best ResponseYou've already chosen the best response.0Put it this way, there's a reason why I made the suggestions I made.
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