Question

Miguel rode his bike 20 miles in 2.5 hours

Answer 1

Explanation:

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

2). Since Miguel rode his bike with the speed =
`(20)/(2.5)=8` 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 =
`(4)/(0.5)=8`

Therefore, equation will be y = 8x.

5). Since y = kx

⇒ k =
`(y)/(x)`

Proportionality constant k represents the speed of Migual.

Answer 2

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 =
`(20)/(2.5) =8 miles per hour`

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.