## Related questions with answers

Question

At a constant speed, is the time to drive from Long Island to Albany, NY, proportional, or inversely proportional, to the speed? Explain. At 55 mph, it takes 3.5 hours to make the trip. Write a formula for the relationship and find how fast you would have to drive to get to Albany in 3 hours.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 6Recall:

- If $y$ is proportional to $x$, we write

$y=kx$

An increase in $x$ causes an increase in $y.$

- If $y$ is inversely proportional to $x$, we write

$y=\frac{k}{x}$

An increase in $x$ causes an decrease in $y.$

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