The area of a square is given by the function a ( x ) = x 2 , where x is the length of the sides of the square. If carpeting costs $9.95 per square yard, then the cost C ( a ) (in dollars) to carpet a square room is given by C ( a ) = 9.95 a , where a is the area of the room in square yards. a. Find ( C ∘ a ) ( x ) and interpret its meaning in the context of this problem. b. Find the cost to carpet a square room if its floor dimensions are 15 yd by 15 yd.
The area of a square is given by the function a ( x ) = x 2 , where x is the length of the sides of the square. If carpeting costs $9.95 per square yard, then the cost C ( a ) (in dollars) to carpet a square room is given by C ( a ) = 9.95 a , where a is the area of the room in square yards. a. Find ( C ∘ a ) ( x ) and interpret its meaning in the context of this problem. b. Find the cost to carpet a square room if its floor dimensions are 15 yd by 15 yd.
Solution Summary: The author calculates the cost of carpeting a square room by using the function (Ccirc
The area of a square is given by the function
a
(
x
)
=
x
2
,
where x is the length of the sides of the square. If carpeting costs $9.95 per square yard, then the cost
C
(
a
)
(in dollars) to carpet a square room is given by
C
(
a
)
=
9.95
a
,
where a is the area of the room in square yards.
a. Find
(
C
∘
a
)
(
x
)
and interpret its meaning in the context of this problem.
b. Find the cost to carpet a square room if its floor dimensions are 15 yd by 15 yd.
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