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

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

Answer 1

To model the distance traveled, \( y \), based on the hours driven, \( x \), after they have already traveled 500 miles, the equation would be:

\[ y = 70x + 500 \]

This indicates that for each hour driven at an average speed of 70 miles per hour, the family will add that distance to the initial 500 miles they have already traveled.

This situation is **nonproportional** because the equation includes a constant term (500), which means the distance does not start at zero.

So the correct response is:

**y = 70x + 500, nonproportional**.