Miguel rode his bike 20 miles in 2.5 hours

Step-by-step explanation:

1). Miguel rode his bike 20 miles in 2.5 hours.

2). Since Miguel rode his bike with the speed = miles per hour

So the table will be

Time          0       0.5      1       1.5        2       2.5

Distance    0        4        8       12       16       20    

3). Graph for the given equation is attached.

4). Since y = kx represents the situation then for Distance y = 4 miles in time x = 0.5 hours

4 = k(0.5)

k =

Therefore, equation will be y = 8x.

5). Since y = kx

⇒ k =

Proportionality constant k represents the speed of Migual.

x = 3 ± √(5+y)