niyahbailey3
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The graph below plots a function f(x): graph of line segment going through ordered pairs 0, 100 and 3, 220 If x represents time, the average rate of change of the function f(x) in the first three seconds is ___.

Respuesta :

bcalle
Rate of change is like slope.  Use the slope formula:
m = (y2 - y1)/(x2 - x1)
m =(220 - 100)/(3 - 0)
m = 120/3
m = 40
TaeKwonDoIsDead

Average rate of change of a line is its slope.

To find slope we can use the formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x{1}}[/tex]

Where,

  • m is the slope
  • [tex](x_{1}, y_{1})[/tex] is the first point
  • [tex](x_{2}, y_{2})[/tex] is the second point

For our problem,

  • Point 1 ([tex](x_{1}, y_{1})[/tex]) is (0,100)
  • Point 2 ([tex](x_{2}, y_{2})[/tex]) is (3,220)

Now, let's find slope.

[tex]m=\frac{220-100}{3-0} =\frac{120}{3} =40[/tex]

So, the average rate of change of the function f(x) int he first three seconds is 40.


ANSWER: 40

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