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
Accepted Solution
A:
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