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Dog Age worksheet

Grades 6–7 · CCSS 6.EE.A.2.c

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Method: Epigenetic formula (16 ln + 31)
    • Dog's age: 6 years

    Find: Human-equivalent age

  2. Problem 2.
    • Method: Size-based chart
    • Dog's age: 8 years
    • Adult size: Large (about 51–100 lb (23–45 kg))

    Find: Human-equivalent age

  3. Problem 3.
    • Method: Size-based chart
    • Dog's age: 5 years
    • Adult size: Small (up to about 20 lb (9 kg))

    Find: Human-equivalent age

  4. Problem 4.
    • Method: Size-based chart
    • Dog's age: 5 years
    • Adult size: Medium (about 21–50 lb (10–23 kg))

    Find: Human-equivalent age

  5. Problem 5.
    • Method: Size-based chart
    • Dog's age: 6 years
    • Adult size: Large (about 51–100 lb (23–45 kg))

    Find: Human-equivalent age

  6. Problem 6.
    • Method: Epigenetic formula (16 ln + 31)
    • Dog's age: 7 years

    Find: Human-equivalent age

  7. Problem 7.
    • Method: Size-based chart
    • Dog's age: 6 years
    • Adult size: Medium (about 21–50 lb (10–23 kg))

    Find: Human-equivalent age

  8. Problem 8.
    • Method: Epigenetic formula (16 ln + 31)
    • Dog's age: 8 years

    Find: Human-equivalent age

  9. Problem 9.
    • Method: Epigenetic formula (16 ln + 31)
    • Dog's age: 5 years

    Find: Human-equivalent age

  10. Problem 10.
    • Method: Size-based chart
    • Dog's age: 6 years
    • Adult size: Small (up to about 20 lb (9 kg))

    Find: Human-equivalent age

Answer key: Dog Age worksheet

  1. 1. Human-equivalent age: 59.7 years

    1. Take the natural log (ln) of the age, a button on most calculators that grows fast early, then slows

      ln 6=1.791759
    2. Multiply by 16 and add 31, the numbers researchers found by studying Labrador retrievers

      16×1.791759+31=59.668152 human years
  2. 2. Human-equivalent age: 60 years

    1. The first two years count as 15 + 9 = 24 human years

      15+9=24 human years
    2. Every year after the second adds 6 human years

      24+6×(8−2)=60 human years
  3. 3. Human-equivalent age: 36 years

    1. The first two years count as 15 + 9 = 24 human years

      15+9=24 human years
    2. Every year after the second adds 4 human years

      24+4×(5−2)=36 human years
  4. 4. Human-equivalent age: 39 years

    1. The first two years count as 15 + 9 = 24 human years

      15+9=24 human years
    2. Every year after the second adds 5 human years

      24+5×(5−2)=39 human years
  5. 5. Human-equivalent age: 48 years

    1. The first two years count as 15 + 9 = 24 human years

      15+9=24 human years
    2. Every year after the second adds 6 human years

      24+6×(6−2)=48 human years
  6. 6. Human-equivalent age: 62.1 years

    1. Take the natural log (ln) of the age, a button on most calculators that grows fast early, then slows

      ln 7=1.94591
    2. Multiply by 16 and add 31, the numbers researchers found by studying Labrador retrievers

      16×1.94591+31=62.134562 human years
  7. 7. Human-equivalent age: 44 years

    1. The first two years count as 15 + 9 = 24 human years

      15+9=24 human years
    2. Every year after the second adds 5 human years

      24+5×(6−2)=44 human years
  8. 8. Human-equivalent age: 64.3 years

    1. Take the natural log (ln) of the age, a button on most calculators that grows fast early, then slows

      ln 8=2.079442
    2. Multiply by 16 and add 31, the numbers researchers found by studying Labrador retrievers

      16×2.079442+31=64.271065 human years
  9. 9. Human-equivalent age: 56.8 years

    1. Take the natural log (ln) of the age, a button on most calculators that grows fast early, then slows

      ln 5=1.609438
    2. Multiply by 16 and add 31, the numbers researchers found by studying Labrador retrievers

      16×1.609438+31=56.751007 human years
  10. 10. Human-equivalent age: 40 years

    1. The first two years count as 15 + 9 = 24 human years

      15+9=24 human years
    2. Every year after the second adds 4 human years

      24+4×(6−2)=40 human years