Answer :
Answer:
The average rate of change of f(x) = x + 6 on [4,9] is 1.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval [tex](x_{s}, x_{f})[/tex] will be given by the following equation:
[tex]S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}[/tex]
In this problem, we have that:
[tex]f(x) = x + 6[/tex]
Interval [4,9]. So
[tex]x_{s} = 4, x_{f} = 9, f(x_{f}) = f(9) = 9+6 = 15, f(x_{s}) = f(4) = 4+6 = 10[/tex]
[tex]S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}} = \frac{15 - 10}{9 - 4} = 1[/tex]
The average rate of change of f(x) = x + 6 on [4,9] is 1.