Question

the graph represents the speed at which pete's marble travels.the speed of stephano's marble is represented by the equation $f= 2.25s$where f is the distance in feet and s is the time in seconds.matt's marble travels 4ft in 2.5 seconds

Answer 1

The unit rate = Distance / time

For petes marbel from the graph the his unit rate is given by

$\begin{gathered} \frac{f_1-f_2}{s_2-s_1}=\frac{(\text{distance 1 - distance 2)}}{(\text{time 2 - time}1)} \\ =\frac{3-0}{2-0} \\ =1.5\text{ m/s} \end{gathered}$

For Stepheno's marble his rate is given by f = 2.25s

so that f/s = 2.25m/s

For Matt's Marble, his rate = Diatance / time = 4/ 2.5 = 1.6m/s