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TheJP Group Title

Peter played his favorite video game for 10 hours last week. Today Peter's parents restricted him to 5 hours each week for the next 8 weeks. Create the function, f(x), that models Peter's total video game time and explain what each number in the situation represents graphically, using complete sentences.

  • 7 months ago
  • 7 months ago

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  1. TheJP Group Title
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    @myininaya

    • 7 months ago
  2. TheJP Group Title
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    @marigirl I feel bad for asking you so many questions :(

    • 7 months ago
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    @theEric

    • 7 months ago
  4. theEric Group Title
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    Hi! I can help intermittently! If there's something I say that you don't understand, just let me know. Do you know what the independent variable will be?

    • 7 months ago
  5. TheJP Group Title
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    the 8 weeks?

    • 7 months ago
  6. theEric Group Title
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    Yep! Well, it mentions last week, too. So we should probably consider all 9 weeks. The independent variable, then, will be "weeks." Since we're writing your function as \(f(x)\) because the problem says so, we will say that \(x\) stands for the week number. How does that sound?

    • 7 months ago
  7. TheJP Group Title
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    Fantastic

    • 7 months ago
  8. theEric Group Title
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    Okay! So, we'll say that "today" is week 0. I changed my mind about including last week. I mean, I don't think that's what the problem is going for. So, at \(x=0\), meaning zero weeks have passed, how many hours total have been played.

    • 7 months ago
  9. TheJP Group Title
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    if we have 0 weeks. then 0 hours?

    • 7 months ago
  10. theEric Group Title
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    Nope! Good guess, but Peter has some hours under his belt already.

    • 7 months ago
  11. TheJP Group Title
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    so 10 from last week?

    • 7 months ago
  12. theEric Group Title
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    Right! So, at \(x=0\), we see that \(f(0)=10\). Do you know the name for the value of the function when \(x=0\)? Starts with an 'i.'

    • 7 months ago
  13. TheJP Group Title
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    inverse?

    • 7 months ago
  14. theEric Group Title
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    Close! Not in meaning, but the spelling is close. interc---

    • 7 months ago
  15. TheJP Group Title
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    intercept?

    • 7 months ago
  16. theEric Group Title
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    You're right! :) So, if you have \(f(x)=mx+b\) for a line, where is the intercept? (Hint, set \(x=0\))

    • 7 months ago
  17. TheJP Group Title
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    m(0)+b =b

    • 7 months ago
  18. theEric Group Title
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    Right! The intercept is \(10\ \rm hours\) and \(b\) in the equation. So, when we finish, make sure you point out that the number "10" indicates the total hours played at the start of today, the "intercept." "Intercept will probably be a key word.

    • 7 months ago
  19. TheJP Group Title
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    Okay

    • 7 months ago
  20. TheJP Group Title
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    @david111

    • 7 months ago
  21. TheJP Group Title
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    ??

    • 7 months ago
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    @theEric

    • 7 months ago
  23. theEric Group Title
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    5 hours per week, what does that tell you?

    • 7 months ago
  24. TheJP Group Title
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    x?

    • 7 months ago
  25. TheJP Group Title
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    i really have no idea

    • 7 months ago
  26. theEric Group Title
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    every one week, you gain five hours. If you have some scratch paper, it might help you see the picture by plotting this! Remember, start at \(f(0)=10\) !

    • 7 months ago
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