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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

Verified Answer :

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

Answer:

Option 2nd is correct

\(xy = 300\)

Step-by-step 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 :

\(xy = 300\)

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