Question

E

A charter
4.5 hours
distance traveled is directly
Assume the
proportional to the time spent.
Write a direct variation equation.
1b

Answer 1

Question:

A charter bus travels 225 miles in 4.5 hours. Assume the distance travelled is directly proportional to the time spent.

Write a direct variation equation.

Answer:

`y = 50x`

Explanation:

Let:

y = distance

x = time

So:

`y = 225` and
`x = 4.5`

Since, they are directly proportional: The following relationship exists

`y = kx`

Where

k = constant of variation

Substitute values for y and x

`225 = 4.5 * k`

Make x the subject

`k = (225)/(4.5)`

`k = 50`

Substitute 50 for k in
`y = kx`

`y = 50x`