Graphs of Situations

1. $\text{Each}$ $\text{part}$ $\text{of}$ $\text{the}$ $\text{story}$ $\text{is}$ $\text{one}$ $\text{piece}$ $\text{of}$ $\text{the}$ $\text{graph.}$
2. $\text{The}$ $\text{cyclist}$ $\text{speeds}$ $\text{up,}$ $\text{then}$ $\text{rides}$ $\text{at}$ $\text{a}$ $\text{steady}$ $\text{speed,}$ $\text{then}$ $\text{slows}$ $\text{down}:$ $\text{rises,}$ $\text{is}$ $\text{flat,}$ $\text{falls}\text{.}$

Answer: $\text{The}$ $\text{graph}$ $\text{rises,}$ $\text{then}$ $\text{is}$ $\text{flat,}$ $\text{then}$ $\text{falls}$

1. $\text{The}$ $\text{flat}$ $\text{piece}$ $\text{runs}$ $\text{from}$ $x=1$ $\text{to}$ $x=4\text{:}$ $\text{nothing}$ $\text{changes}$ $\text{there.}$
2. $\text{That}$ $\text{is}$ $4-1=3$ $\text{minutes}\text{.}$

Answer: $3$

1. $\text{Constant}$ $\text{means}$ $\text{the}$ $\text{graph}$ $\text{is}$ $\text{flat}$ $\text{from}$ $\text{left}$ $\text{to}$ $\text{right.}$
2. $\text{That}$ $\text{happens}$ $\text{only}$ $\text{from}$ $x=3$ $\text{to}$ $x=4:3<x<4\text{.}$

Answer: $3<x<4$