91.
Cost function
Revenue function
Selling price of x shirts after sale tax
Profit function
93.
P(x)=20x−350
P(20)=50; profit made after 20 radios were sold
43
(R∘x)(C)=5C−1, 750. The function represents the revenue in terms of the cost C.
95.
f(x)=0.7x
g(x)=x−5
(g∘f)(x)=0.7x−5
(f∘g)(x)=0.7(x−5)
$1.50
97.
f(x)=1.1x; g(x)=x+8
(f∘g)(x)=1.1x+8.8; a final test score, which originally was x, after adding 8 points and then increasing the score by 10%
(g∘f)(x)=1.1x+8; a final test score, which originally was x, after increasing the score by 10% and then adding 8 points
85.8 and 85.0
No
3.82
4.55
99.
f(x)=πx2
g(x)=π(x+30)2
The area between the fountain and the fence
$16,052
101.
(f∘g)(t)=π(2t+1)2
A(t)=π(2t+1)2
They are the same.
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