At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Let's analyze the conditions given for determining the total cost of trout for Karen's seafood restaurant.
1. If Karen orders less than 10 pounds of trout:
- Each pound costs \[tex]$28. - There is an additional shipping fee of \$[/tex]4.
- Thus, the total cost [tex]\( C \)[/tex] for [tex]\( x \)[/tex] pounds when [tex]\( 0 < x < 10 \)[/tex] is given by:
[tex]\[ C = 28x + 4 \][/tex]
2. If Karen orders 10 pounds or more of trout:
- Each pound costs \[tex]$22. - There is an additional shipping fee of \$[/tex]8.
- Thus, the total cost [tex]\( C \)[/tex] for [tex]\( x \)[/tex] pounds when [tex]\( x \geq 10 \)[/tex] is given by:
[tex]\[ C = 22x + 8 \][/tex]
We need to construct the piecewise function [tex]\( f(x) \)[/tex] based on these conditions.
The correct piecewise function is:
[tex]\[ f(x) = \begin{cases} 28x + 4 & \text{if } 0 < x < 10 \\ 22x + 8 & \text{if } x \geq 10 \end{cases} \][/tex]
Comparing this with the options provided, we see that option B matches the conditions exactly:
[tex]\[ f(x) = \begin{cases} 28x + 4 & \text{if } 0 < x < 10 \\ 22x + 8 & \text{if } x \geq 10 \end{cases} \][/tex]
Thus, the correct answer is:
[tex]\[ B \][/tex]
1. If Karen orders less than 10 pounds of trout:
- Each pound costs \[tex]$28. - There is an additional shipping fee of \$[/tex]4.
- Thus, the total cost [tex]\( C \)[/tex] for [tex]\( x \)[/tex] pounds when [tex]\( 0 < x < 10 \)[/tex] is given by:
[tex]\[ C = 28x + 4 \][/tex]
2. If Karen orders 10 pounds or more of trout:
- Each pound costs \[tex]$22. - There is an additional shipping fee of \$[/tex]8.
- Thus, the total cost [tex]\( C \)[/tex] for [tex]\( x \)[/tex] pounds when [tex]\( x \geq 10 \)[/tex] is given by:
[tex]\[ C = 22x + 8 \][/tex]
We need to construct the piecewise function [tex]\( f(x) \)[/tex] based on these conditions.
The correct piecewise function is:
[tex]\[ f(x) = \begin{cases} 28x + 4 & \text{if } 0 < x < 10 \\ 22x + 8 & \text{if } x \geq 10 \end{cases} \][/tex]
Comparing this with the options provided, we see that option B matches the conditions exactly:
[tex]\[ f(x) = \begin{cases} 28x + 4 & \text{if } 0 < x < 10 \\ 22x + 8 & \text{if } x \geq 10 \end{cases} \][/tex]
Thus, the correct answer is:
[tex]\[ B \][/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.