Question

Average rate of change question

Answer 1

HI!!

Answer 2

how many in 1995?

Answer 3

16258

Answer 4

how many in 1991?

Answer 5

4493

Answer 6

Help? @misty1212

Answer 7

Use the definition:
Let \((a,f(a))\), and \((b,f(b))\) be two points on the graph of a function \(f\).
Then the average rate of change of \(f(x)\) as \(x\) changes tfrom \(a\) to \(b\) is defined by \(\dfrac{\Delta y}{\Delta x}\) \(\dfrac{f(b) - f(b)}{b - a}\), \(a \ne b\).

You may know this definition in this form: \(\dfrac{y_1 - y_1}{x_2 - x_1}\)
You are given two points. \((1991, 4993)\); \((1995, 16258)\)
Simply plug-in you given values, and you will get your average rate of change between those two points. (Also know as slope.)

Answer 8

I got 2941.25 as the average rate of change but it said it's incorrect.

Answer 9

@amistre64 Is there any chance you could tell me why my answer is incorrect?

Answer 10

hmm, 91 to 95 is 4 years

4993 to 16258

16258
4993
------
11265 is the change over 4 years

is this what you got for the parts?

Answer 11

Oh! I made a silly mistake. Yep, 11265 is the right answer for part a, and 2816.25 is the answer for part b. Thanks so much!

Answer 12

yeah, thats what im getting :)