A family is going from Dallas, Texas, to Los Angeles, California. They have traveled 500 miles so far. The next day, their average speed is 70 miles per hour. Write an equation for the distance they traveled, y

Question

, and the hours they have driven, x
. Indicate whether this is a proportional or a nonproportional situation.(1 point)
Responses

y=70x+500, nonproportional

y=70x+500, proportional

y=70x, proportional

y=500x+70

y=500x+70, nonproportional

Answer 1

The correct equation for the distance they traveled, \( y \), in relation to the hours they have driven, \( x \), is:

\[ y = 70x + 500 \]

This is a nonproportional situation because the family has already traveled 500 miles before they start driving at an average speed of 70 miles per hour. The distance does not start from 0, which means the relationship is not directly proportional.

So the answer is:

y=70x+500, nonproportional.