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

Question

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 , 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 equals 70 x plus 500 , nonproportional

y=500x+70, nonproportional
y equals 500 x plus 70 , nonproportional

y=70x, proportional
y equals 70 x , proportional

y=70x+500, proportional

GPT-4o mini · Answer

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

\( y = 70x + 500 \), nonproportional.

This indicates that the family has already traveled 500 miles, and they are adding the distance traveled at 70 miles per hour for each hour driven after the initial 500 miles. Since there is a constant term (500), this is a nonproportional situation.