Find the slope of the line. Describe how one variable changes in relation to the other.
A) 2; distance increases by 2 miles per hour
B) 2; distance decreases by 2 miles per hour
C) 1/2 ; distance increases 1 mile every 2 hours
D) 1/2 ; distance decreases 1 mile every 2 hours
A) The slope of 2 indicates that for every hour that passes, the distance increases by 2 miles. This means that the two variables are directly proportional, with the distance increasing at a constant rate.
B) The slope of 2 indicates that for every hour that passes, the distance decreases by 2 miles. Similarly to option A, the two variables are still directly proportional, but in this case, the distance is decreasing at a constant rate.
C) The slope of 1/2 indicates that for every 2 hours that pass, the distance increases by 1 mile. This means that the two variables are still directly proportional, but the distance is increasing at a slower rate compared to options A and B.
D) The slope of 1/2 indicates that for every 2 hours that pass, the distance decreases by 1 mile. Like in option C, the two variables are still directly proportional, but in this case, the distance is decreasing at a slower rate compared to options A and B.