ashley299
ashley299 3h ago • 0 views

Real-world examples of function tables for 8th graders

Hey there! 👋 Function tables might seem a bit abstract, but they're actually used all the time in the real world! 🤩 Let's check out some practical examples that you might encounter every day, followed by a quiz to test your knowledge!
🧮 Mathematics
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john_burns Dec 31, 2025

📚 Quick Study Guide

  • 🔢 A function table shows the relationship between an input ($x$) and an output ($y$).
  • 📝 Each input has exactly one output.
  • 📈 The general form is often represented as $y = f(x)$, where $f$ is the function.
  • 💡 Function tables can be used to represent various real-world scenarios like currency conversion or calculating distances.
  • ➕ To use a function table, substitute the input ($x$) into the function to determine the output ($y$).

🧪 Practice Quiz

  1. What real-world scenario can be modeled using the function $y = 2.54x$, where $x$ is inches and $y$ is centimeters?
    1. A) Converting Celsius to Fahrenheit
    2. B) Converting inches to centimeters
    3. C) Converting kilograms to pounds
    4. D) Converting liters to gallons
  2. A taxi service charges a flat fee of $5 plus $2 per mile. Which function table correctly represents the total cost ($y$) for different distances ($x$ miles)?
    1. A) $y = 5x + 2$
    2. B) $y = 2x + 5$
    3. C) $y = 7x$
    4. D) $y = 3x + 5$
  3. If a vending machine charges $1.50 per snack, what function could represent the total cost ($y$) for buying $x$ snacks?
    1. A) $y = x + 1.50$
    2. B) $y = 1.50x$
    3. C) $y = x - 1.50$
    4. D) $y = \frac{x}{1.50}$
  4. A phone company charges a monthly fee of $20 plus $0.10 per minute of talk time. Which equation represents the total monthly bill ($y$) for $x$ minutes?
    1. A) $y = 0.10x - 20$
    2. B) $y = 20x + 0.10$
    3. C) $y = 0.10x + 20$
    4. D) $y = 20 - 0.10x$
  5. A bakery sells cookies for $2 each. They have a fixed daily cost of $50 for ingredients and rent. Which function best represents the daily profit ($y$) if they sell $x$ cookies?
    1. A) $y = 50 - 2x$
    2. B) $y = 2x + 50$
    3. C) $y = 2x - 50$
    4. D) $y = 50x - 2$
  6. A car travels at a constant speed of 60 miles per hour. Which function represents the distance ($y$) traveled in $x$ hours?
    1. A) $y = x + 60$
    2. B) $y = \frac{x}{60}$
    3. C) $y = 60x$
    4. D) $y = 60 + x^2$
  7. A store offers a 10% discount on all items. If the original price of an item is $x$, which function represents the discounted price ($y$)?
    1. A) $y = 0.10x$
    2. B) $y = x + 0.10x$
    3. C) $y = x - 0.10x$
    4. D) $y = 1.10x$
Click to see Answers
  1. B
  2. B
  3. B
  4. C
  5. C
  6. C
  7. C

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