Question

calculate the average rate of change on the interval (15leq xleq16) on the function (f(x) = 1).

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function \(y = f(x)\) on the interval \([a,b]\) is \(\frac{f(b)-f(a)}{b - a}\). Here, \(a = 15\), \(b=16\), and \(f(x)=1\).

Step2: Substitute values into the formula

Since \(f(15)=1\) and \(f(16) = 1\), we substitute into \(\frac{f(16)-f(15)}{16 - 15}\). So we get \(\frac{1-1}{16 - 15}\).

Step3: Simplify the expression

\(\frac{1-1}{16 - 15}=\frac{0}{1}=0\).

Answer:

\(0\)