Build a linear or exponential model, and say what the numbers mean

Grade 9 Math Worksheet - Challenge Me

NameDate

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

  1. Jun's class fund grows the same amount each week: $26 at week 2 and $41 at week 5. What model gives the dollars y after x weeks?

  2. Kira's sunflower grows the same amount each week: 40 cm at week 3 and 68 cm at week 7. What model gives the height y after x weeks?

  3. Luz's class pencil bin loses the same number each day: 70 pencils at day 4 and 40 at day 10. What model gives the pencils y after x days?

  4. Milo's club phone tree multiplies by the same factor each round: 6 people in round 1 and 54 in round 3. What model gives the people y in round x?

  5. Pia's sticker-star game multiplies by the same factor each round: 45 stars in round 2 and 405 in round 4. What model gives the stars y in round x?

  6. Tala's star-sticker table has rows x = 0, 1, 2 with y = 4, 12, 36. Which model fits all three rows?

    • y = 4(3)^x
    • y = 8x + 4
    • y = 3(4)^x
  7. Zee's box-packing table has rows x = 0, 1, 2 with y = 10, 15, 20. Which model fits all three rows?

    • y = 10x + 5
    • y = 10(1.5)^x
    • y = 5x + 10
  8. Ari's flower-bed table has rows x = 0, 1, 2 with y = 20, 30, 45. Which model fits all three rows?

    • y = 30(1.5)^x
    • y = 20(1.5)^x
    • y = 10x + 20
    • y = 1.5(20)^x
  9. Bo's ball-bounce table has rows x = 0, 1, 2 with y = 50, 40, 32. Which model fits all three rows?

    • y = 50(0.8)^x
    • y = 0.8(50)^x
    • y = 50 − 10x
  10. Esme's bake-sale cookie table has rows x = 0, 1, 2 with y = 64, 48, 32. Which model fits all three rows?

    • y = 64(0.75)^x
    • y = 64 − 16x
    • y = 48 − 16x
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Build a linear or exponential model, and say what the numbers mean

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

  1. Jun's class fund grows the same amount each week: $26 at week 2 and $41 at week 5. What model gives the dollars y after x weeks?

    y = 5x + 16
  2. Kira's sunflower grows the same amount each week: 40 cm at week 3 and 68 cm at week 7. What model gives the height y after x weeks?

    y = 7x + 19
  3. Luz's class pencil bin loses the same number each day: 70 pencils at day 4 and 40 at day 10. What model gives the pencils y after x days?

    y = 90 − 5x
  4. Milo's club phone tree multiplies by the same factor each round: 6 people in round 1 and 54 in round 3. What model gives the people y in round x?

    y = 2(3)^x
  5. Pia's sticker-star game multiplies by the same factor each round: 45 stars in round 2 and 405 in round 4. What model gives the stars y in round x?

    y = 5(3)^x
  6. Tala's star-sticker table has rows x = 0, 1, 2 with y = 4, 12, 36. Which model fits all three rows?

    • y = 4(3)^x
    • y = 8x + 4
    • y = 3(4)^x
  7. Zee's box-packing table has rows x = 0, 1, 2 with y = 10, 15, 20. Which model fits all three rows?

    • y = 10x + 5
    • y = 10(1.5)^x
    • y = 5x + 10
  8. Ari's flower-bed table has rows x = 0, 1, 2 with y = 20, 30, 45. Which model fits all three rows?

    • y = 30(1.5)^x
    • y = 20(1.5)^x
    • y = 10x + 20
    • y = 1.5(20)^x
  9. Bo's ball-bounce table has rows x = 0, 1, 2 with y = 50, 40, 32. Which model fits all three rows?

    • y = 50(0.8)^x
    • y = 0.8(50)^x
    • y = 50 − 10x
  10. Esme's bake-sale cookie table has rows x = 0, 1, 2 with y = 64, 48, 32. Which model fits all three rows?

    • y = 64(0.75)^x
    • y = 64 − 16x
    • y = 48 − 16x