Question

The jones family plans a 300 mile trip. Let y=time traveled (in hours) and x=average speed (in miles per hour). Write the equation for the rectangular hyperbola that expresses the relationship between time traveled (y) and average speed (x).

Y=300X
XY=300
300Y=X

Answer 1

The basic formula is XY = 300. Since we know the distance formula would be d = rate * time.

Answer 2

Option 2nd is correct

`xy = 300`

Explanation:

Using formula:

`\text{Distance} = \text{Speed} \cdot \text{Time}`

Here, y represents the time traveled (in hours) and x represents the average speed (in miles per hour).

Given the statement:

The Jones family plans a 300 mile trip

⇒
`\text{Distance} = 300` miles

Using formula we get;

`300 x \cdot y`

⇒
`xy = 300`

therefore, the equation for the rectangular hyperbola that expresses the relationship between time traveled (y) and average speed (x) is :

`xy = 300`