Question 1:
a. Rate of change is the same thing as slope. To find the slope of a line with a graph we take two points and find the change in y over the change in x.
I will pick... (0,0) and (1,25).
(25-0)/(1-0) = 25
Answer: We can write this as 25 miles per gallon.
b. I cannot see the options but the rate of change represents the distance travelled using one gallon of gas.
2. The description represents graph C. This graph describes an increase of speed, the coasting of the bike, the increase again at a slower rate, another coasting period, and then a steady decrease in speed.
Answer: C
3. Look at the slopes of each line. You will find that all the graphs except for B decrease by a degree or more every hour.
Answer: B
4. Look to see if all the points fit the graph. Graph D is the only graph to match.
Answer: D