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

Grade 8 Math Worksheet - Challenge Me

Circle the best answer.

1. 1.

   Bo compares two bikes. A's graph is shown. B follows y = 2x + 14. Which statement is right about their rates, initial values and when they are equal?

   • A grows faster, 4 against 2, and starts lower, 8 against 14; they are equal at x = 6, the gap in the starts.
   • A grows faster, 4 against 2, and starts lower, 8 against 14; they are equal at x = 3, where both are 20.
   • B starts higher, 14 against 8, so B stays ahead and they do not meet.
   • A grows faster, 4 against 2, and starts lower, 8 against 14; they are equal at x = 20, the amount where they meet.
2. 2.

   Esme compares two plants. A's graph is shown. B follows y = 5x + 1. Which statement is right about their rates, initial values and when they are equal?

   • B grows faster, 5 against 3, and starts lower, 1 against 3; they are equal at x = 6, the amount where they meet.
   • B grows faster, 5 against 3, and starts lower, 1 against 3; they are equal at x = 1, where both are 6.
   • A starts higher, 3 against 1, so A stays ahead and they do not meet.
   • B grows faster, 5 against 3, and starts lower, 1 against 3; they are equal at x = 2, the gap in the starts.
3. 3.

   Jun compares two cups. A's graph is shown. B follows y = 2x + 4. Which statement is right about their rates, initial values and when they are equal?

   • A starts higher, 16 against 4, so A stays ahead and they do not meet.
   • B grows faster, 2 against −2, and starts lower, 4 against 16; they are equal at x = 12, the gap in the starts.
   • B grows faster, 2 against −2, and starts lower, 4 against 16; they are equal at x = 10, the amount where they meet.
   • B grows faster, 2 against −2, and starts lower, 4 against 16; they are equal at x = 3, where both are 10.
4. 4.

   Kira studies a graph of liters in the tub for a tub. Which description gives the start and the rate in each piece, up or down?

   • It starts with 12 liters, fills 4 liters each minute until minute 3, holds at 24 until minute 5, then drains 3 liters each minute until minute 9.
   • It starts with 12 liters, fills 12 liters each minute until minute 3, holds at 24 until minute 5, then drains 12 liters each minute until minute 9.
   • It starts with 12 liters, fills 4 liters each minute until minute 3, holds at 24 until minute 5, then fills 3 liters each minute until minute 9.
   • It starts with 12 liters, fills 4 liters each minute until minute 3, then fills slowly until minute 5, then drains 3 liters each minute until minute 9.
5. 5.

   Luz studies a graph of meters high for a drone. Which description gives the start and the rate in each piece, up or down?

   • It starts at 6 meters, climbs 4 meters each second until second 2, hovers at 14 until second 3, climbs 3 meters each second until second 6, then climbs 2 meters each second until second 8.
   • It starts at 6 meters, climbs 4 meters each second until second 2, then climbs slowly until second 3, drops 3 meters each second until second 6, then climbs 2 meters each second until second 8.
   • It starts at 6 meters, climbs 8 meters each second until second 2, hovers at 14 until second 3, drops 9 meters each second until second 6, then climbs 4 meters each second until second 8.
   • It starts at 6 meters, climbs 4 meters each second until second 2, hovers at 14 until second 3, drops 3 meters each second until second 6, then climbs 2 meters each second until second 8.
6. 6.

   Milo studies a graph of dollars in the jar for a savings jar. Which description gives the start and the rate in each piece, up or down?

   • It starts with 20 dollars, spends 4 dollars each week until week 2, holds at 12 until week 5, then saves 3 dollars each week until week 7.
   • It starts with 20 dollars, spends 8 dollars each week until week 2, holds at 12 until week 5, then saves 6 dollars each week until week 7.
   • It starts with 20 dollars, saves 4 dollars each week until week 2, holds at 12 until week 5, then saves 3 dollars each week until week 7.
   • It starts with 20 dollars, spends 4 dollars each week until week 2, then spends slowly until week 5, then saves 3 dollars each week until week 7.
7. 7.

   Noah studies a graph of meters above the trailhead for a hiker. Which description gives the start and the rate in each piece, up or down?

   • It starts at 0 meters, climbs 5 meters each minute until minute 2, then climbs slowly until minute 4, descends 4 meters each minute until minute 5, then climbs 4 meters each minute until minute 9.
   • It starts at 0 meters, climbs 5 meters each minute until minute 2, rests at 10 until minute 4, descends 4 meters each minute until minute 5, then climbs 4 meters each minute until minute 9.
   • It starts at 0 meters, climbs 10 meters each minute until minute 2, rests at 10 until minute 4, descends 4 meters each minute until minute 5, then climbs 16 meters each minute until minute 9.
   • It starts at 0 meters, climbs 5 meters each minute until minute 2, rests at 10 until minute 4, climbs 4 meters each minute until minute 5, then climbs 4 meters each minute until minute 9.

8. Read this first

   Use this

   A drone starts at 8 meters. It climbs 4 meters each second for 3 seconds, hovers for 2 seconds, then drops 2 meters each second for 4 seconds.

9. 8.

   Ren reads the story below. Which corner points (time, amount) match its graph?

   • (0, 8), (3, 20), (5, 20), (9, 12)
   • (0, 0), (3, 12), (5, 12), (9, 4)
   • (0, 8), (4, 20), (6, 20), (8, 12)
   • (0, 8), (3, 20), (5, 22), (9, 14)

10. Use this

    A plant starts 5 centimeters tall. It grows 2 centimeters each day for 3 days, stops for 2 days, then grows 4 centimeters each day for 2 days.

11. 9.

    Tala reads the story below. Which corner points (time, amount) match its graph?

    • (0, 0), (3, 6), (5, 6), (7, 14)
    • (0, 5), (3, 11), (5, 11), (7, 19)
    • (0, 5), (3, 11), (5, 13), (7, 21)
    • (0, 5), (2, 11), (4, 11), (8, 19)

12. Use this

    A jar holds 20 dollars. It gains 4 dollars each week for 3 weeks, holds for 2 weeks, then loses 3 dollars each week for 4 weeks.

13. 10.

    Zee reads the story below. Which corner points (time, amount) match its graph?

    • (0, 20), (4, 32), (6, 32), (9, 20)
    • (0, 0), (3, 12), (5, 12), (9, 0)
    • (0, 20), (3, 32), (5, 34), (9, 22)
    • (0, 20), (3, 32), (5, 32), (9, 20)