Problem
Joseph drove from his summer home to his place of work. To avoid the road construction, Joseph decided to travel the gravel road. After driving for 20
minutes, he was 62
miles away from work, and after driving for 40
minutes, he was 52
miles away from work. This situation is shown in the graph below. Determine the slope of the line, and describe what it means in this situation.
Graph of problem
Solution
Find the slope. Put any negative sign in the numerator, if needed.
m=
change in y
=
change in Answer 1 Question 12
miles
change in x
change in Answer 2 Question 12
minutes
m=
Answer 3 Question 12
Answer 4 Question 12
The slope (rate of change) means that for every Answer 5 Question 12
minutes that Joseph is driving, he has Answer 6 Question 12
fewer mile remaining to get to work.
