Answer:
Part a) (the graph in the attached figure)
Part b) see the explanation
Step-by-step explanation:
<u><em>The complete question is</em></u>
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
Simplify
Let
r -----> represent any speed (in meters per second) faster than the runner's speed
The inequality that represent r is
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