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?
A. f(x) =
30x + 2, 0 < x < 10
24x + 6, 2 > 10
O B. f(2)=
24x + 6, 0 << < 10
30% +2, 2 > 10
O c. f() =
{
30x + 2, 0 << < 10
24x + 6, 3 > 10
D. f(x) =
24x + 6, 0 < x < 10
30x + 2, 3 > 10
< PREVIOUS

The piecewise function that models the cost of x pounds of trout is: [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex],

What is piecewise function?

"It is a function that is defined on a sequence of intervals."

For given question,

'x' represents number of pound of trout.

Each pound of trout costs $30, and the company charges a $2 fee for

shipping the order.

We write this in equation form as,

f(x) = 30x + 2

This is possible if Karen orders less than 10 pounds.

So, the function would be,

f(x) = 30x + 2, 0 < x < 10

If Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.

This means, the function would be,

f(x) = 24x + 6, x > 10

Hence, the piecewise function that models the cost of x pounds of trout is: [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex]

Learn more about piecewise function here:

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