Read a graph as a story: rising, falling, steady

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Ari walks a dog. The graph shows blocks from home against time. What is the rate of change from B to C, in blocks per minute?

   4
2. 2.

   Esme grows a bean plant. The graph shows centimeters tall against time. What is the rate of change from B to C, in centimeters per day?

   6
3. 3.

   Jun fills a bucket. The graph shows liters in the bucket against time. What is the rate of change from B to C, in liters per minute?

   3
4. 4.

   Kira studies a graph of meters from home against time. Which piece shows the fastest change?

   • A to B: it rises 4 each minute, the most.
   • D to E: it reaches the highest point on the graph, 18.
   • B to C: it is the longest piece, lasting 4 minutes.
5. 5.

   Luz studies a graph of centimeters tall against time. Which piece shows the fastest change?

   • B to C: it rises 10 each day, the most.
   • C to D: it is the longest piece, lasting 4 days.
   • D to E: it reaches the highest point on the graph, 28.
6. 6.

   Milo studies a graph of liters in the tub against time. Which piece shows the fastest change?

   • A to B: it is the longest piece, lasting 4 minutes.
   • C to D: it reaches the highest point on the graph, 22.
   • B to C: it rises 12 each minute, the most.
7. 7.

   Noah studies a graph of dollars saved against time. Which piece shows the fastest change?

   • B to C: it is the longest piece, lasting 4 weeks.
   • A to B: it rises 6 each week, the most.
   • C to D: it reaches the highest point on the graph, 20.
8. 8.

   Pia rode a bike. The graph shows distance from home against time. Which statement does the graph support?

   • From C to D, Pia rides downhill, because the line goes down.
   • From A to B, Pia rides uphill, because the line goes up.
   • From B to C, Pia stops: the distance from home stays at 12 km.
   • From B to C, Pia rides slowly, because the line is almost level.
9. 9.

   Tala rode a bike. The graph shows distance from home against time. Which statement does the graph support?

   • From C to D, Tala speeds up: 6 km each hour, faster than the 2 km each hour from A to B.
   • From B to C, Tala rides downhill, because the line goes down.
   • From B to C, Tala rides slowly, because the line is almost level.
   • From A to B, Tala rides uphill, because the line goes up.
10. 10.

    Zee rode a bike. The graph shows distance from home against time. Which statement does the graph support?

    • From C to D, Zee rides downhill, because the line goes down.
    • From A to B, Zee rides uphill, because the line goes up.
    • From C to D, Zee heads back: the distance falls 6 km in 2 hours, 3 km each hour.
    • From B to C, Zee rides slowly, because the line is almost level.