A law office orders business stationery. The cost is \( \$ 24.70 \) per box. (a) Write a function that represents the cost \( C ( x ) \) (in \( \$ \) ) for \( x \) boxes of stationery. (b) There is a \( 6 \% \) sales tax on the cost of merchandise and \( \$ 9.54 \) for shipping. Write a function that represents the total cost \( T ( a ) \) for \( a \) dollars spent in merchandise and shipping. (c) Find \( ( T \cdot C ) ( x ) \) . (d) Find \( ( T \cdot C ) ( 3 ) \) and interpret its meaning in the context of this problem.
Pregunta
Answer
C(x)=24.7*x
T(x)=24.7*x*1.06+9.54=26.182*x+9.54
T*C(x)=646.6954x\(^{2}\)+235.638x
6527.1726