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anonymous

  • one year ago

The table below represents the distance of a car from its destination as a function of time: (I'll post the table right now, also person who helps gets a medal, fan, and testimony) Part A: What is the y-intercept of the function and what does this tell you about the car? Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 and what does the average rate represent? Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination?

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  1. anonymous
    • one year ago
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    Time (Hour) x Distance (Miles) y 0 900 1 850 2 800 3 750

  2. anonymous
    • one year ago
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    I have absolutly no clear what I am doing but I have only 5 minutes to get the answer. :O

  3. nincompoop
    • one year ago
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    can you try to graph it first? this is an important skill to hone and then we can try to solve for other things analytically and graphically

  4. anonymous
    • one year ago
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    I would except I don't have graph paper or anything like it

  5. nincompoop
    • one year ago
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    oh this is a study site, not answer my homework site

  6. anonymous
    • one year ago
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    I understand that completely

  7. nincompoop
    • one year ago
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    try to solve for the slope from the start of the time and distance (initial) and end time and distance (final)

  8. anonymous
    • one year ago
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    Never mind I ran out of time, thanks anyway :). I'll still fan, medal, and write a testimony about you though.

  9. nincompoop
    • one year ago
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    time (x) distance (y) x initial (x1) y initial (y1) x.. y.. x.. y.. x.. y... x final (x2) y final (y2)

  10. Teddyiswatshecallsme
    • one year ago
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    Part A is just talking about what is it the Y-intercept of the function, in other words, which column which is the y and what does it say about the equation?

  11. anonymous
    • one year ago
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    ok

  12. nincompoop
    • one year ago
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    once you figure out the slope, then you can use the slope-intercept form \((y-y_1) = m \times (x-x_1) \) solve for y and whatever your constant is the y-intercept

  13. anonymous
    • one year ago
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    I am still confsued about part b though

  14. nincompoop
    • one year ago
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    average rate of change is just your slope :)

  15. Teddyiswatshecallsme
    • one year ago
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    Nin that's point slope form.

  16. Teddyiswatshecallsme
    • one year ago
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    Not Slope Intercept.

  17. anonymous
    • one year ago
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    Sorry guys I am just confused because I am a 7th grader and this is way beyand me.

  18. Teddyiswatshecallsme
    • one year ago
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    Slope Intercept: y = mx + b

  19. Teddyiswatshecallsme
    • one year ago
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    Hmm, then why do you have this homework?

  20. nincompoop
    • one year ago
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    point-slope form and slope-intercept form are related. you cannot arrive into the latter without solving the former in this scenario

  21. anonymous
    • one year ago
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    I have this homeowkr because I am taking this advanced course

  22. Teddyiswatshecallsme
    • one year ago
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    Ahhh alright.

  23. nincompoop
    • one year ago
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    try doing what I have been telling you and then we will go through them individually

  24. anonymous
    • one year ago
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    Ok umm, hang on

  25. nincompoop
    • one year ago
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    I will give you the graphical and analytical point of view of the words such as intercepts

  26. nincompoop
    • one year ago
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    teaching you the concepts will help you solve future problems compare to telling you how to solve this.

  27. nincompoop
    • one year ago
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    at no extra cost :)

  28. nincompoop
    • one year ago
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    just pay me with your attention (time)

  29. anonymous
    • one year ago
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    OK so what do I do for the first step? to solve part b?

  30. nincompoop
    • one year ago
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    so average rate of change or any rate of change pertains to the slope, m

  31. anonymous
    • one year ago
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    Is there a formula for that?

  32. Teddyiswatshecallsme
    • one year ago
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    Yes.

  33. nincompoop
    • one year ago
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    have you got an idea what slope is yet?

  34. anonymous
    • one year ago
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    m = y1- y2 / x1 - x2? is that right?

  35. nincompoop
    • one year ago
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    correct

  36. anonymous
    • one year ago
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    Yes!

  37. nincompoop
    • one year ago
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    now that is analytically looking at things, but what if you are not provided the x's and y's and you have to figure them yourself?

  38. nincompoop
    • one year ago
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    bear with me, I will draw some things for you to look at

  39. anonymous
    • one year ago
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    Yes, I was just about to say dosn't slope only work for points? (ex. (3, 5) or (-2, 7))

  40. nincompoop
    • one year ago
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    it does and then we can use that same knowledge to solve any related-rate problem

  41. nincompoop
    • one year ago
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    |dw:1435975261422:dw|

  42. nincompoop
    • one year ago
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    we can say that your average rate of change (how much you're traveling at every moment in time) or simply your speed is going to be \(\large s = \frac{final~distance - initial~distance}{final ~time - initial~ time} \)

  43. anonymous
    • one year ago
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    I understand this now thanks so much can you help with one more?

  44. anonymous
    • one year ago
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    I got the answer right!

  45. nincompoop
    • one year ago
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    let us not try to skip because it will expand and be more complicated from this

  46. anonymous
    • one year ago
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    Yes, I understood this and I wrote down my answer and got it right, I just need help with one more thing.

  47. anonymous
    • one year ago
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    Explain how the Quotient of Powers was used to simplify this expression: \[2^{5}/8 = 22\] By finding the quotient of the bases to be 1/4 and cancelling common factors By finding the quotient of the bases to be 1/4 and simplifying the expression By simplifying 8 to 23 to make both powers base two and subtracting the exponents By simplifying 8 to 23 to make both powers base two and adding the exponents

  48. nincompoop
    • one year ago
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    now if we represent first drawing into graph, this is where the x's and y's appear |dw:1435975525773:dw|

  49. nincompoop
    • one year ago
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    thank you for your time. I do not like being rushed when I am trying to provide critical concepts.

  50. nincompoop
    • one year ago
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    |dw:1435975838805:dw|

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