Question

practice #4
background: match each story on the left with the graph it represents on the right. each graph compares the distance a car is from home compared to time.
____ 1. i had just left home when i realized i had forgotten my books, so i went back to pick them up.
____ 2. the battery on my electric car started to run down.
____ 3. things went fine until i had a flat tire.
____ 4. i started out calmly, but sped up when i realized i was going to be late.

Explanation:

Step1: Analyze story 1

The car moves away from home, then back - home, so distance first increases then decreases. This matches graph D where the distance from home first goes up and then comes down.

Step2: Analyze story 2

When the battery runs down, the car slows down. The rate of change of distance with respect to time (speed) decreases. This matches graph C where the slope of the distance - time graph (representing speed) decreases over time.

Step3: Analyze story 3

With a flat tire, the car stops moving, so the distance from home remains constant. This matches graph B where the distance from home is a horizontal line (indicating zero speed).

Step4: Analyze story 4

The car starts slow and then speeds up. The slope of the distance - time graph (representing speed) increases over time. This matches graph A where the slope of the curve gets steeper as time progresses.

Answer:

1. D
2. C
3. B
4. A