Try the fastest way to create flashcards
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

Verified
Step 1
1 of 6

Recall:

• 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 $y.$

## Recommended textbook solutions #### Precalculus

2nd EditionISBN: 9780076602186Carter, Cuevas, Day, Malloy
8,886 solutions #### Nelson Functions 11

1st EditionISBN: 9780176332037Chris Kirkpatrick, Marian Small
1,275 solutions #### Functions Modeling Change: A Preparation for Calculus

5th EditionISBN: 9781118583197 (2 more)Eric Connally, Gleason, Hughes-Hallett
4,340 solutions #### Precalculus with Limits

3rd EditionISBN: 9781133962885 (3 more)Larson
11,068 solutions