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 is
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.
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 time
so
[tex]\frac{200}{35}\ \frac{m}{sec}[/tex]
Simplify
[tex]\frac{40}{7}\ \frac{m}{sec}[/tex]
Let
r -----> represent any speed (in meters per second) faster than the runner's speed
The inequality that represent r is
[tex]r > \frac{40}{7}\ \frac{m}{sec}[/tex]
using a graphing tool
The graph in the attached figure
The solution is all real numbers greater than 40/7 m/sec
Part b)
we know that
From 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
