Respuesta :

Miguel rode his bike 20 miles in 2.5 hours

(1)Starting information is , In 2,5 hours Miguel traveled 20 miles

(2)Now we complete the table

In 2,5 hours distance traveled = 20 miles

So in 1 hour distance traveled = [tex]\frac{20}{2.5} =8 miles per hour[/tex]

Time             0   0.5       1         1.5       2        2.5

Distance       0    4         8         12       16         20

(3) The graph is attached below

(4) Equation y = kx

y is the distance

x is the time

Distance = k (time)

We know speed is 8 miles per hour

So k is 8

y = 8k is the final equation

(5) k is the constant of proportionality

the value of k= 8

so 8 is the constant of proportionality.

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Answer:

Step-by-step explanation:

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

2). Since Miguel rode his bike with the speed = [tex]\frac{20}{2.5}=8[/tex] 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 = [tex]\frac{4}{0.5}=8[/tex]

Therefore, equation will be y = 8x.

5). Since y = kx

⇒ k = [tex]\frac{y}{x}[/tex]

Proportionality constant k represents the speed of Migual.

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