A runner finishes a 200-meter dash in 35 seconds. Let r represent any speed (in meters per second) faster than the runner's speed. Write an inequality that represents r

Answer:Part a) [tex]r > \frac{40}{7}\ \frac{m}{sec}[/tex] (the graph in the attached figure)Part b) see the explanation                                         Step-by-step explanation:The complete question isA runner finishes a 200-meter dash in  35 seconds. Let r represent any speed (in meters  per second) faster than the runner’s speed. a. Write an inequality that represents r. Then graph  the inequality. b. Every point on the graph represents a speed faster  than the runner’s speed. Do you think every point  could represent the speed of a runner?Part a) we know that                                      The speed of the runner is equal to divide the distance by the timeso              [tex]\frac{200}{35}\ \frac{m}{sec}[/tex]                        Simplify                      [tex]\frac{40}{7}\ \frac{m}{sec}[/tex]           Letr -----> represent any speed (in meters per second) faster than the runner's speedThe inequality that represent r is[tex]r > \frac{40}{7}\ \frac{m}{sec}[/tex]using a graphing toolThe graph in the attached figureThe solution is all real numbers greater than 40/7 m/secPart b) we know thatFrom a mathematical point of view, every point of the graph belong to the solution set , but from a practical point of view the runner's speed is physically limited, so the solution set is a boundary interval