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KJ4UTS

  • one year ago

A farmer wants to fence in a rectangular field that encloses 3600 square feet. One side of the field is along a river and does not require fencing. The fencing costs $3.50 per foot. Express the total cost C(x) of the fencing (in dollars) as a function of x. Please explain. Thank you!

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  1. KJ4UTS
    • one year ago
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  2. anonymous
    • one year ago
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    Can you answer the following? Write a formula for the length of the fence (using x & y).

  3. KJ4UTS
    • one year ago
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    Would that be 3600=x+x+y? The last one C(x)=3.50(x+3600/x) but I am not sure.

  4. anonymous
    • one year ago
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    It can be rewritten as 3600 = 2x + y. How would you write y in terms of x?

  5. KJ4UTS
    • one year ago
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    3600-2x=y?

  6. anonymous
    • one year ago
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    correct

  7. KJ4UTS
    • one year ago
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    So does that make the answer the third one down C(x)=3.50(2x+3600/x)?

  8. KJ4UTS
    • one year ago
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    and is there a number that can be plugged in to check to see if the function is correct?

  9. anonymous
    • one year ago
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    I'm sorry I knew how to do this, but at the moment I'm blanking out. If it comes to me, I'll try to post.

  10. Michele_Laino
    • one year ago
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    Hint: the are of your field is: xy=3600, so we have: y=3600/x then the perimeter \( \large p \) that has to be fenced is: \[\Large p = x + x + y = 2x + \frac{{3600}}{x}\]

  11. Michele_Laino
    • one year ago
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    area*

  12. Michele_Laino
    • one year ago
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    @KJ4UTS

  13. anonymous
    • one year ago
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    I should have asked earlier what is the formula for the area, to which the answer is A = l x w => 3600 = x(y) So y = 3600/x So I think that you are correct Perimeter = 2x + (3600/x) So cost = 3.5 [2x (3600/x)] Can someone verify this?

  14. Michele_Laino
    • one year ago
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    so, we have: \[\Large C\left( x \right) = 3.50p = ...?\]

  15. Michele_Laino
    • one year ago
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    so, what is the right option?

  16. KJ4UTS
    • one year ago
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    @Michele_Laino the right option looks like the third one down C(x)=3.50(2x+3600/x)?

  17. Michele_Laino
    • one year ago
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    correct!

  18. KJ4UTS
    • one year ago
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    Thank you :)

  19. Michele_Laino
    • one year ago
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    :)

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