Answer:
10
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [ a, b ] is
[tex]\frac{h(b)-h(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 4 ], thus
h(b) = h(4) = 4² + 5(4) = 16 + 20 = 36
h(a) = h(1) = 1² + 5(1) = 1 + 5 = 6, so
average rate of change = [tex]\frac{36-6}{4-1}[/tex] = [tex]\frac{30}{3}[/tex] = 10
