Question

1. Find the rate of change demonstrated in the graphbelow.3027242112DISTANCE (MILES)15129E621 2 3 4 5 6 7 8 9 104 5 6TIME (HOURS)

Answer 1

Take 2 points in the graph, for example (2,9) and (6,27)

The rate of change is given by the equation

$\frac{f(b)-f(a)}{b-a}$

Replace the values

$\frac{27-9}{6-2}=\frac{18}{4}=\frac{9}{2}$

The rate of change is 9/2