85. Yes, because there is only one high temperature every day
87. No, because Nevada and North Carolina both start with N
89. A ( x ) = x 2 ; A ( 4 ) = 16 ; A ( 4 ) A ( x ) = x 2 ; A ( 4 ) = 16 ; A ( 4 ) represents the area of a square tile with side of length 4.
91. It is a function. S ( x ) = 6 x 2 ; S ( 3 ) = 54 S ( x ) = 6 x 2 ; S ( 3 ) = 54
93.
[0, 8]
h ( 2 ) = 192 , h ( 4 ) = 256 , h ( 6 ) = 192 h ( 2 ) = 192 , h ( 4 ) = 256 , h ( 6 ) = 192
8 sec
95. P = 28 x − x 2 P = 28 x − x 2
97. S = 2 x 2 + 256 x S = 2 x 2 + 256 x
99. A = x 2 4 π + 1 16 ( 20 − x ) 2 A = x 2 4 π + 1 16 ( 20 − x ) 2
101. C = 2 x 2 + 6912 x C = 2 x 2 + 6912 x
103. d = [ ( x − 2 ) 2 + ( x 3 − 3 x + 5 ) 2 ] 1 / 2 d = [ ( x − 2 ) 2 + ( x 3 − 3 x + 5 ) 2 ] 1 / 2
105.
p ( 5 ) = 1150 ; p ( 5 ) = 1150 ; if 5000 TVs can be sold, the price per TV is $1150. p ( 15 ) = 900 ; p ( 15 ) = 900 ; if 15,000 TVs can be sold, the price per TV is $900. p ( 30 ) = 525 ; p ( 30 ) = 525 ; if 30,000 TVs can be sold, the price per TV is $525
p ( 25 ) = 650 ; p ( 25 ) = 650 ; if the TVs are priced at $650 each, 25,000 can be sold.
107.
C ( x ) = 5.5 x + 75 , 000 C ( x ) = 5.5 x + 75 , 000
R ( x ) = 9 x R ( x ) = 9 x
P ( x ) = 3.5 x − 75 , 000 P ( x ) = 3.5 x − 75 , 000
21,429
$86,000
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