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anonymous

  • one year ago

An Labrador leaps over a hurdle. The function f(t) represents the height of the Labrador above the ground, in inches, at t seconds: f(t) = -16t2 + 26t A foxhound jumps over the same hurdle. The table shows the height of the foxhound above the ground g(t), in inches, at t seconds: Time (t) g(t) 0 0 0.4 5.44 0.6 6.24 0.7 6.16 0.8 5.76 1.0 4 1.2 0 Part A: Compare and interpret the maximum of f(t) and g(t)? (4 points) Part B: Which function has a greater x-intercept? What do the x-intercepts of the graphs of f(t) and g(t) represent? (4 points)

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  1. anonymous
    • one year ago
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    Part C: Determine the y-intercepts of both functions and explain what this means in the context of the problem. Ionly need help with part C

  2. Vocaloid
    • one year ago
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    ok, it's asking for the y-intercepts, so we set t = 0 and find f(t) and g(t) when t = 0, what does f(t) = ?

  3. anonymous
    • one year ago
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    I dont know, this part is confusing me!

  4. Vocaloid
    • one year ago
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    t = 0 f(t) = -16t^2 + 26t = ?

  5. anonymous
    • one year ago
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    f(t)=-16^2=26t?

  6. Vocaloid
    • one year ago
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    replace "t" with "0" and find f(t)

  7. Vocaloid
    • one year ago
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    |dw:1443656752009:dw|

  8. anonymous
    • one year ago
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    I dont understand, im having a moment

  9. Vocaloid
    • one year ago
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    let's break it down step by step t = 0 -16t^2 = __ fill in the blank

  10. anonymous
    • one year ago
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    0? OR

  11. Vocaloid
    • one year ago
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    good, -16t^2 = 0

  12. Vocaloid
    • one year ago
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    next step: t = 0 26t = ?

  13. anonymous
    • one year ago
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    0?

  14. Vocaloid
    • one year ago
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    good. so f(t) = 0 when t = 0 that means the y-intercept of f(t) is 0

  15. Vocaloid
    • one year ago
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    now, are you ready to find the y-intercept of g(t)?

  16. anonymous
    • one year ago
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    I think i get lost when you said f(t)= 0 when t = 0?

  17. Vocaloid
    • one year ago
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    ok, we are given the function f(t) = -16t2 + 26t to find the y-intercept, we must find the value of f(t) when t = 0, is that clear?

  18. anonymous
    • one year ago
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    so we replace the ts with zeros?

  19. Vocaloid
    • one year ago
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    yes

  20. Vocaloid
    • one year ago
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    so, when t = 0 f(t) = -16t^2 + 26t = -16(0^2) + 26(0) = 0, is that clear?

  21. anonymous
    • one year ago
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    so f(t)-16(0)^2+26(0)?

  22. Vocaloid
    • one year ago
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    right, and we calculate that out f(t)=16(0)^2+26(0) = 0

  23. Vocaloid
    • one year ago
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    so our y-intercept is 0, is that clear?

  24. anonymous
    • one year ago
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    I dont understand

  25. anonymous
    • one year ago
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    how do we find the y intercept

  26. Vocaloid
    • one year ago
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    we just found the y-intercept...

  27. Vocaloid
    • one year ago
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    to find the y-intercept, we set t = 0 and find f(t)

  28. anonymous
    • one year ago
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    so i dont understand

  29. anonymous
    • one year ago
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    the y intercept is out equation?

  30. Vocaloid
    • one year ago
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    the y-intercept is a number, and to find that number, we find f(t) when t = 0

  31. Vocaloid
    • one year ago
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    |dw:1443657403687:dw|

  32. Vocaloid
    • one year ago
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    is that clear?

  33. Vocaloid
    • one year ago
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    y-intercept = 0

  34. anonymous
    • one year ago
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    so its just zero?

  35. anonymous
    • one year ago
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    @vocaloid

  36. Vocaloid
    • one year ago
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    yes

  37. anonymous
    • one year ago
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    Oh, hah. thank you so much! :)

  38. Vocaloid
    • one year ago
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    alright, but we're not done yet, now we need to find the intercept of g(t)

  39. Vocaloid
    • one year ago
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    read the table, and tell me what g(t) equals when t = 0

  40. anonymous
    • one year ago
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    oh goodness im not at this... uh 0 and 1.2?

  41. anonymous
    • one year ago
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    im not good at this*

  42. Vocaloid
    • one year ago
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    |dw:1443658018405:dw|

  43. anonymous
    • one year ago
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    i dont know

  44. Vocaloid
    • one year ago
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    look at the table again look at the row where t = 0 what number is on the right hand side?

  45. anonymous
    • one year ago
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    0

  46. Vocaloid
    • one year ago
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    good, so the y-intercept of g(t) is 0

  47. anonymous
    • one year ago
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    okay.

  48. anonymous
    • one year ago
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    anything else?

  49. Vocaloid
    • one year ago
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    ok, it also asks you to explain what the y-intercepts mean in the context of the problem we know that t represents time, so when t = 0, time = 0 seconds f(t) represents the height of the labrador, and g(t) represents the height of the foxhound since both y-intercepts are 0, that means that both dogs start off at a height of 0

  50. Vocaloid
    • one year ago
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    that should be it for the problem

  51. anonymous
    • one year ago
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    Thank you!!

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