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An educational math resource showing the answer key for a Pre-Algebra functions worksheet with real-world word problems.

Math worksheet answer key for functions featuring tables, graphs, and word problems about panda weight and weight loss.

Math worksheet answer key for functions featuring tables, graphs, and word problems about panda weight and weight loss.

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Show Answer Key & Explanations Step-by-step solution for: Comparing Functions Answer Key | PDF
1. Which panda was heavier when they were born?
- Kappa was heavier at birth (1 pound) compared to Raja (0 pounds).

2. Which panda is growing faster?
- Raja is growing faster, gaining 3 pounds per week, while Kappa gains only 2 pounds per week.

3. Which panda will weigh more at 5 weeks?
- Raja will weigh more at 5 weeks (15 pounds) compared to Kappa (11 pounds).

4. How much more will Raja weigh than Kappa at 5 weeks?
- Raja will weigh 4 pounds more than Kappa at 5 weeks.

5. Write an equation for each panda’s weight.
- Raja: W = 3w
- Kappa: W = 2w + 1

6. If the pandas continue to grow at the same rate, when will they weigh the same?
- They will never weigh the same because Raja starts at 0 and grows faster (3 pounds/week) than Kappa (2 pounds/week starting from 1 pound). Raja overtakes Kappa between week 0 and week 1 and remains heavier thereafter.

7. Two contractors on Bigfoot Laser are varnishing and clear-coating a wooden floor.
- Clear varnish: W = 247 - 2.5t (starting at 247 gallons, losing 2.5 gallons per hour)
- Clear coat: W = 235 - 2.2t (starting at 235 gallons, losing 2.2 gallons per hour)

8. Which contractor runs out of liquid first?
- Clear varnish runs out first (after 98.8 hours) compared to clear coat (after approximately 106.8 hours).

9. How long does it take for each to run out?
- Clear varnish: 98.8 hours
- Clear coat: approximately 106.8 hours

10. When will both liquids be gone?
- Both liquids will not be gone at the same time; clear varnish runs out first at 98.8 hours, and clear coat runs out later at approximately 106.8 hours.
Parent Tip: Review the logic above to help your child master the concept of comparing functions worksheet answers.
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