Applying the Concepts

  1. 91.

    1. Cost function

    2. Revenue function

    3. Selling price of x shirts after sale tax

    4. Profit function

  2. 93.

    1. P(x)=20x350

    2. P(20)=50; profit made after 20 radios were sold

    3. 43

    4. (Rx)(C)=5C1, 750. The function represents the revenue in terms of the cost C.

  3. 95.

    1. f(x)=0.7x

    2. g(x)=x5

    3. (gf)(x)=0.7x5

    4. (fg)(x)=0.7(x5)

    5. $1.50

  4. 97.

    1. f(x)=1.1x; g(x)=x+8

    2. (fg)(x)=1.1x+8.8; a final test score, which originally was x, after adding 8 points and then ­increasing the score by 10%

    3. (gf)(x)=1.1x+8; a final test score, which originally was x, after increasing the score by 10% and then adding 8 points

    4. 85.8 and 85.0

    5. No

      1. 3.82

      2. 4.55

  5. 99.

    1. f(x)=πx2

    2. g(x)=π(x+30)2

    3. The area between the fountain and the fence

    4. $16,052

  6. 101.

    1. (fg)(t)=π(2t+1)2

    2. A(t)=π(2t+1)2

    3. They are the same.

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3.145.15.1