Interpreting Graphs Lesson

Interpreting Graphs - Functions

8th Grade - Story Graphs

Distance - Time Graphs

• Linear (straight) line shows moving at a CONSTANT Rate.

• Non-linear (curved) show acceleration or deceleration.

Distance v Time Graphs

• The straight green line sloping upwards show the line is moving away from the starting point at a constant speed.

• The blue line shows 3 parts. Part 1: moving away at a constant speed. Part 2: Stopped (zero slope shows no movement). Part 3: Returning to the starting point at a constant speed.

• The red line is non-linear. It starts 2 seconds later than the other two with acceleration, then deceleration then levels out to a stop (zero slope).

Multiple Choice

The graph represents Kara's trip. Which statement is true?

• Between 10 and 20 minutes Kara's car was stopped

• Kara's highest speed was between 30 and 35 minutes.

• Kara's highest speed was between 25 and 30 minutes.

• Between 5 and 10 minutes Kara's speed was decreasing.

Multiple Choice

The graph shows how far Jim has traveled since he left his house. How long did Jim have to stop at a light for?

• 2 miles

• 2 minutes

• 5 minutes

• 5 miles

Multiple Choice

Daniel biked to the park. On the way, he stopped for a soda, then continued to the park. After playing a game of catch, Daniel biked home. Between which two points did Daniel more than likely stop for a soda?

• between points B and C

• between points C and D

• between points D and E

• between points E and F

Multiple Choice

The graph represents Daniel's bike ride to the ball park. Determine the slope from point D to point E. What does the slope indicate about Daniel's speed between points D and E?

• 1; The slope indicates that Daniel's speed is 1 meter per minute.

• undefined; The slope indicates that Daniel's speed varies from minute to minute.

• 0; The slope indicates that Daniel is not moving.

• −1 The slope indicates that Daniel's speed is less than 1 meter per minute..

Multiple Choice

The graph shows Nick's bike ride from home to his grandparents and then returning home. Which intervals show Nick's distance from home increasing?

• Interval A and B

• Interval D and F

• Interval C and E

• Interval A, B, C, and E

Speed-Time Graphs

• Positive Slope: constant acceleration

• ZERO Slope Constant speed

• Negative Slope: constant deceleration

Multiple Choice

What is happening during part C of the graph?

• acceleration

• deceleration

• constant speed

• stopped

Multiple Choice

The graph represents Brian's trip. Based on the graph, which statement is true?

• Between 5 and 10 minutes Brian's speed was decreasing.

• Between 10 and 20 minutes Brian's speed was decreasing.

• Between 20 and 25 minutes Brian's speed was decreasing.

• Between 10 and 20 minutes Brian's speed was increasing.

Multiple Choice

The graph represents Brian's trip. Based on the graph, which statement is NOT true?

• Brian was accelerating between 0 and 10 minutes.

• Brian was driving at a constant speed between 10 and 20 minutes.

• Brian was decelerating between 10 and 20 minutes.

• Brian was decelerating between 20 and 25 minutes.

Multiple Choice

I began to walk; then, I increased my pace and held it constant for a period of time and then decreased my pace slowly. Which graph models this situation?

• A

• B

• C

• D