Answer:
The average rate of change is 12.
Step-by-step explanation:
Given
p(x)= x^2+6x+5
The average rate of change in the given interval a ≤ x ≤ b is given by the expression
Rate of change= (p(b)-p(a))/(b-a)
Here p(b) is the value of function at point b and p(a) is the value of function point a.
From the question,
a = 1
and
b = 5
So,
Rate of change= (p(5)-p(1))/(5-1)
Now,
p(5)= (5)^2+6(5)+5
p(5)=25+30+5
p(5)=60
And
p(1)= (1)^2+6(1)+5
p(1)=1+6+5
p(1)=12
Putting in the formula
Rate of change= (60-12)/(5-1)
= 48/4
=12
