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The graph below plots a function f(x):

graph of line segment going through ordered pairs 0, 50 and 2,100 and extend beyond 2,100

If x represents time, the average rate of change of the function f(x) in the first two seconds is _______.

Respuesta :

carlosego
By definition we have that the average rate of change of the function is given by:
 [tex]AVR = \frac{f(x2) - f(x1)}{x2 - x1} [/tex]
 Substituting values we have:
 [tex]AVR = \frac{100 - 50}{2 - 0} [/tex]
 Rewriting we have:
 [tex]AVR = \frac{50}{2} [/tex]
 [tex]AVR = 25 [/tex]
 Answer:
 If x represents time, the average rate of change of the function f(x) in the first two seconds is 25.

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