Karen owns a seafood restaurant. She orders trout from an online retailer. Each pound of trout costs $30 and the company charges a $2 fee for shipping the order. However, if Karen orders 10 or more pounds, the Trout costs only &24 per pound, but the shipping fee is $6. Which piecewise function models the cost of x pounds of Trout?

Respuesta :

Let, number of pounds of trout is x and their price is C.

For, x < 10 :

Price per pound is 30 .

C = 30x + 2     ....1 )

For, x ≥ 10 :

Price per pound is 24 .

C = 24x + 6     ....2 )

Therefore, total cost is :

[tex]C =\$ \left \{ {{30x+2 \ \ \ \ x<10} \atop {24x +6 \ \ \ \ x \ge 10}} \right.[/tex]

Hence, this is the required solution.

Answer:

30x+2, 0<x<10

24x+6, x≥10

Step-by-step explanation:

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