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This answer key for the "Comparing Functions" worksheet provides step-by-step solutions for analyzing puppy growth charts and weight loss equations.

Comparing Functions worksheet answer key featuring problems on puppy growth rates and teenage weight loss.

Comparing Functions worksheet answer key featuring problems on puppy growth rates and teenage weight loss.

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Show Answer Key & Explanations Step-by-step solution for: Free Printable Comparing Functions Worksheets for Students
1. Which panda is heavier when they were born?
- Kappa is heavier at birth (7 pounds) compared to Misha (5 pounds).

2. Which panda is growing faster?
- Kappa is growing faster because it gains 3 pounds per week, while Misha gains only 2 pounds per week.

3. Which panda will weigh more after 10 weeks?
- Kappa will weigh more after 10 weeks.
- Misha: y = 2(10) + 5 = 25 pounds
- Kappa: y = 3(10) + 7 = 37 pounds

4. What would be the weight of each panda at the beginning of the chart?
- At week 0 (beginning), Misha weighs 5 pounds and Kappa weighs 7 pounds.

5. Clear weighing more than 200 pounds after 6 weeks? How much does it weigh?
- Yes, Clear weighs 230 pounds after 6 weeks.
- W = 235 - 2.5t → W = 235 - 2.5(6) = 235 - 15 = 220 pounds (correction: 220, not 230)

6. Who is losing weight faster?
- Clear is losing weight faster (2.5 pounds per week) compared to Oliver (1 pound per week).

7. Is there a time when Clear and Oliver weigh the same?
- Set equations equal: 235 - 2.5t = 245 - t → 235 - 245 = -t + 2.5t → -10 = 1.5t → t = -10/1.5 ≈ -6.67 weeks
- No, they never weigh the same during the observed period (positive time).
Parent Tip: Review the logic above to help your child master the concept of comparing functions worksheet answers.
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