Algebra 1 | Unit 4 | Lesson 7: Using Graphs to Find Average Rate of Change | Practice Problems

• Negative

• Positive

• Positive

• Zero

• Negative

The graph shows the total distance, in feet, walked by a person as a function of time, in seconds. Was the person walking faster between 20 and 40 seconds or between 80 and 100 seconds?

• Between 20 and 40 seconds

• Between 80 and 100 seconds

Was the person walking faster between 0 and 40 seconds or between 40 and 100 seconds?

• Between 0 and 40 seconds

• Between 40 and 100 seconds

The height, in feet, of a squirrel running up and down a tree is a function of time, in seconds. Here are statements describing the squirrel’s movement during four intervals of time. Match each description with a statement about the average rate of change of the function for that interval.

• A: The squirrel runs up the tree very fast.

• B: The squirrel starts and ends at the same height.

• C: The squirrel runs down the tree.

• D: The squirrel runs up the tree slowly.

1: The average rate of change is negative. 2: The average rate of change is zero. 3: The average rate of change is small and positive. 4: The average rate of change is large and positive.

• 1: The average rate of change is negative.

• 2: The average rate of change is zero.

• 3: The average rate of change is small and positive.

• 4: The average rate of change is large and positive.