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anonymous

  • one year ago

Can someone check my work please? Eva played her favorite video game for 14 hours last week. Today, Eva;s parents restricted her to 4 additional hours each week for the next 7 weeks. Creat the function, f(x), that midles Eva's total video game time, and explain what each number in the situation graphically, using complete sentences.

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  1. anonymous
    • one year ago
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    My function: f(x) = 14x + 7 x = 7 4 equals the y-intercept, so you would start there then go up 14 and over 1. ** I don't think my explaination is right **

  2. anonymous
    • one year ago
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    Restricting video game time? Such injustice haha Anyway, if she had 14 hours last week, and she gets an additional four hours every week, how many hours does she get this week? ^.^

  3. anonymous
    • one year ago
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    Oops, I typed the function wrong. My function is... f(x) = 14x + 4 and x = 7

  4. anonymous
    • one year ago
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    She would get 18 hours total for one week

  5. anonymous
    • one year ago
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    Okay, great ^^ That's 14 + 4 when the number of weeks is 1. What about the second week?

  6. anonymous
    • one year ago
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    She would still get 18 hours. She will get 18 hours total for every week for 7 weeks. So she'll be playing video games for 126 hours over a period of 7 weeks.

  7. anonymous
    • one year ago
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    No, she only gets four hours each week, right?

  8. anonymous
    • one year ago
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    I thought that she got 14 hours a week plus an additional 4

  9. anonymous
    • one year ago
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    Yeah, I thought so too, but that's not really restricting, is it?

  10. anonymous
    • one year ago
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    Good point... so she'll only get 4 hours for 7 weeks?

  11. anonymous
    • one year ago
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    After you get this done, you go deal with that git that wrote this problem... doesn't know how to phrase it correctly HAHA

  12. anonymous
    • one year ago
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    lol

  13. anonymous
    • one year ago
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    Four hours per week, for the next seven weeks. So, week 1, she gets 18, which is 14 + 4 .... week 2, she gets 22, right? Because she's only allowed four more hours.

  14. anonymous
    • one year ago
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    Okay... so the function I wrote is wrong?

  15. anonymous
    • one year ago
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    Looks like it. Incidentally, 22 is 18 + 8 or... 18 + 4(2) See the pattern here? ^^ week 1 --> 18 + 4 week 2 --> 18 + 4(2) week 3 --> ????

  16. anonymous
    • one year ago
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    26?

  17. anonymous
    • one year ago
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    Ooops... sorry, I was a too fast there. Shouldn't be 18, should be 14. My bad :D week 1 --> 14 + 4 week 2 --> 14 + 4(2) week 3 --> 14 + 4(3) and so on, until week 7, yes? :D

  18. anonymous
    • one year ago
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    So would the function be f(x) = 7x + 4 where x = 14 then?

  19. anonymous
    • one year ago
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    No... x is called a variable for a reason... that's because it's the part of the equation that actually changes :D You should keep everything else. So in 14 + 4(1) 14 + 4(2) 14 + 4(3) ... There's only one bit that changes... right?

  20. anonymous
    • one year ago
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    I'm so confused on what the function would be then because my x variable can't keep changing, that's not how it works. It needs to be a number that continously makes the value increase by a certain number every single time otherwise it's not a function.

  21. anonymous
    • one year ago
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    *continuously makes the value increase by a certain number...bla bla bla* to increase is to change, don't you see that? ^.^

  22. anonymous
    • one year ago
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    This is not helping ._______.

  23. anonymous
    • one year ago
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    You need to keep an open mind here :D 14 + 4(1) 14 + 4(2) 14 + 4(3) ...obviously, the only thing that changes here is that thing you multiply to 4. So your function should be y = 14 + 4x where x is the number of weeks

  24. anonymous
    • one year ago
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    So f(x) = 4x + 14 where x = 7

  25. anonymous
    • one year ago
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    Where x = the number of weeks that has passed -_- For instance, after the first week, then x = 1 so the number of hours she will have played would be 14 + 4(1) or 18 which is exactly what you got earlier, right?

  26. anonymous
    • one year ago
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    So the 7 that they put in the problem has nothing to do with function and the graph ._.

  27. anonymous
    • one year ago
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    It does. Just not something obvious. Technically, it means that the domain of the function is the set {0,1,2,3,4,5,6,7} In English, it means this function only applies for up to x = 7 Which is true. The restriction imposed on the poor bloke was "only" for seven weeks. So it's only right that we DON'T know how many hours she'll have played after eight weeks... the restriction may have been lifted or worsened by that point haha

  28. anonymous
    • one year ago
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    Okay... so how am I supposed to graphically explain the function? f(x) = 4x + 14 so you start the y intercept on 14 and go up 4 and over 1 until you do it seven times?

  29. anonymous
    • one year ago
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    Yeah... only draw it until x = 7.

  30. anonymous
    • one year ago
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    I don't have to actually draw the graph, thankfully. Just explain how it would be graphed.

  31. anonymous
    • one year ago
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    Ahh. Okay then ^.^

  32. anonymous
    • one year ago
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    Thank you for your help! :)

  33. anonymous
    • one year ago
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    I'll have you know I'm like... super smart AHAHAHAHAHAHA Just kidding (maybe ;) ) And no problem ^.^

  34. anonymous
    • one year ago
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    Well then, since you're super smart and all, do you mind helping me with the last problem?

  35. anonymous
    • one year ago
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    Yes, I very much do mind. But you're going to make me do it anyway, so let's hit it HAHA

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