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Math Help - Could you please help me setup and solve these problems?

  1. #1
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    Could you please help me setup and solve these problems?

    These are the ones I don't understand, right from the start

    (This one is supposed to be solved around principles such as (fog)/(gog) etc etc....)1. A coupon for $5 off any lunch price states that a 15% tip will be added to the price before the $5 is subtracted. So, C(x) = x - 5 represents the price after the coupon reduction.
    T(x) = 1.15 x represents the price after the tip is applied. Calculate C(T(x)) and T(C(x)). Which composite function represents the conditions of the coupon?

    2. “n” is inversely proportional to t+3. If t = 1 when n = 3, find t when n =4.


    3. When a seesaw is perfectly balanced, each person’s distance, “d,” from the fulcrum varies inversely as his weight, “w.” If a 120-pound person sits 5 feet from the seesaw fulcrum, where must a 150-pound person sit to balance the seesaw?

    (FIND THE INVERSE OF THIS FUNCTION) 4. New carpeting can be purchased and installed for $22.00 per square yard, plus a $50 delivery fee. (a) Write an equation that gives the cost, c, to carpet “s” square yards. (b) Find the inverse of the cost function. How many square yards can be carpeted for $1810?
    Solve.

    Thanks a bunch! I will give plenty more thanks as we work our way along!!!!!!!!!!
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by bobbyboy1111 View Post
    These are the ones I don't understand, right from the start

    3. When a seesaw is perfectly balanced, each persons distance, d, from the fulcrum varies inversely as his weight, w. If a 120-pound person sits 5 feet from the seesaw fulcrum, where must a 150-pound person sit to balance the seesaw?

    (FIND THE INVERSE OF THIS FUNCTION) 4. New carpeting can be purchased and installed for $22.00 per square yard, plus a $50 delivery fee. (a) Write an equation that gives the cost, c, to carpet s square yards. (b) Find the inverse of the cost function. How many square yards can be carpeted for $1810?
    Solve.

    Thanks a bunch! I will give plenty more thanks as we work our way along!!!!!!!!!!
    3. to balance the seesaw each weight multiply with the distance from the fulcrum should be equal

    120(5)=150(d) solve it for d


    4.$22 per square and add $50 the function

    C(s)=22s+50 "s" represent square yards

    C^{-1}(c)=\frac{c-50}{22} "c" represent the cost

    to see how many square yards can be carpeted for $1810 sub 1810 in the inverse function

    C^{-1}(1810)=\frac{1810-50}{22} it equal 80 right
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  3. #3
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    Quote Originally Posted by bobbyboy1111 View Post
    1. A coupon for $5 off any lunch price states that a 15% tip will be added to the price before the $5 is subtracted. So, C(x) = x - 5 represents the price after the coupon reduction.
    T(x) = 1.15 x represents the price after the tip is applied. Calculate C(T(x)) and T(C(x)). Which composite function represents the conditions of the coupon?
    To learn how to compose functions, try here. Once you've learned how, do the compositions to find the two expressions.

    For the second part, follow the reasoning: C is the coupon, T is the tip, and the tip is supposed to be calculated before the coupon is applied. Since you evaluate compositions from the inside out, where should the tip T be, with respect to the coupon C?


    Quote Originally Posted by bobbyboy1111 View Post
    2. n is inversely proportional to t+3. If t = 1 when n = 3, find t when n =4.
    To learn how to translate "variation" exercises into their indicated formulas, try here. Once you've learned how, do the translation. Then plug the given values into the formula you've just made, and solve for the variation constant k.

    Then you can evaluate your formula for n = 4, and solve for t.

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  4. #4
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    To learn how to translate "variation" exercises into their indicated formulas, try here. Once you've learned how, do the translation. Then plug the given values into the formula you've just made, and solve for the variation constant k.

    Then you can evaluate your formula for n = 4, and solve for t.

    [/quote]

    I still don't understand... it is very confusing to me
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  5. #5
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    Quote Originally Posted by bobbyboy1111 View Post
    I still don't understand... it is very confusing to me
    If your textbook, your classroom lectures, and various online lessons have left you so confused that you remain unable even to get started, then it would appear that you may need much more intensive assistance than we can here provide. (For instance, it is not reasonably feasible to attempt to teach courses here.)

    Tt may be time to think seriously about hiring a qualified local tutor and setting aside a few hours a week for concentrated private lessons. By working with you face-to-face, your tutor will be better placed to locate the gaps in your knowledge which are preventing you from learning this new material. He can then provide you with individualized lessons, and help you get caught up to your class.
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