Max is observing the velocity of a runner at different times. after one hour, the velocity of the runner is 5 km/h. after two hours, the velocity of the runner is 3 km/h. part a: write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. show your work and define the variables used. (5 points) part b: how can you graph the equations obtained in part a for the first 4 hours? (5 points)

Given:
Velocity = 5 km/h after 1 hour
Velocity = 3 km/h after 2 hours

Part A.
Let 
v = a + bt
where
v = velocity, km/h
t = time, hours

Because v=5 when t=1, therefore
a + b = 5             (1)
Because v=3 when t=2, therefore
a + 2b = 3            (2)
Subtract (1) from (2).
a + 2b - (a + b) = 3 - 5
b = -2
From (1), obtain
a - 2 = 5
a = 7

  v = 7 - 2t

Part B.
To graph the equation for 0<=t<=4, create a table.
  t       v
---  -----
 0      7
 1       5
 2      3
 3      1
 4     -1   (gnore negative speed)

The graph is shown below.

If two sides of a triangle are congruent, then the angles opposite those sides are congruent. the converse of the base angles theorem, states that if two angles of a triangle are congruent, then sides opposite those angles are congruent.