1 Answer

Logard · Answer 1 · 2020-01-14T19:34:44+0000

Answer:

10

Explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

(f(b)-f(a))/(b-a)

here [ a, b ] = [1, 4 ]

f(b) = f(4) = 4² +5(4) = 16 + 20 = 36

f(a) = f(1) = 1² + 5(1) = 1 + 5 = 6, hence

average rate of change =
(36-6)/(4-1) =
(30)/(3) = 10

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