Question

31 use the graph below to find the average rate of change between x=3 and x=5

Explanation:

Step1: Find y-values at x=3 and x=5

At \( x = 3 \), from the graph, \( y = 1 \). At \( x = 5 \), from the graph, \( y = 7 \).

Step2: Apply average rate of change formula

The formula for average rate of change between \( x = a \) and \( x = b \) is \( \frac{f(b) - f(a)}{b - a} \). Here, \( a = 3 \), \( b = 5 \), \( f(3) = 1 \), \( f(5) = 7 \). So, \( \frac{7 - 1}{5 - 3}=\frac{6}{2}=3 \).

Answer:

3