IDNLearn.com is your trusted platform for finding reliable answers. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.
Sagot :
Certainly! Let's break down the problem step by step.
Given:
- Candy makes \[tex]$2 on each cupcake she sells. - Each month, Candy spends \$[/tex]346 on supplies.
We need to determine which equation represents the break-even point for Candy.
Step 1: Understand the break-even point
The break-even point occurs when Candy's profit is zero. This means her total revenue from selling cupcakes is equal to her total expenses.
Step 2: Define the variables
Let [tex]\( x \)[/tex] be the number of cupcakes Candy sells in a month.
Let [tex]\( y \)[/tex] be the profit for Candy.
Step 3: Express revenue and expenses
Revenue:
- Since Candy makes \[tex]$2 on each cupcake, her revenue from selling \( x \) cupcakes is \( 2x \). Expenses: - Her fixed monthly expense is \$[/tex]346.
Step 4: Set up the profit equation
Profit ([tex]\( y \)[/tex]) is the difference between revenue and expenses:
[tex]\[ y = \text{Revenue} - \text{Expenses} \][/tex]
[tex]\[ y = 2x - 346 \][/tex]
Step 5: Identify the break-even equation
At the break-even point, Candy's profit ([tex]\( y \)[/tex]) is 0:
[tex]\[ 0 = 2x - 346 \][/tex]
Now, examine the given options:
1. [tex]\( 0 = 2x - 346 \)[/tex]
2. [tex]\( y = 2x - 346 \)[/tex]
3. [tex]\( 376 = -2x \)[/tex]
4. [tex]\( y = 2x + 346 \)[/tex]
The correct option representing the break-even equation, where profit ([tex]\( y \)[/tex]) equals zero, is:
[tex]\[ 0 = 2x - 346 \][/tex]
So, the correct answer is:
[tex]\[ 0 = 2x - 346 \][/tex]
Given:
- Candy makes \[tex]$2 on each cupcake she sells. - Each month, Candy spends \$[/tex]346 on supplies.
We need to determine which equation represents the break-even point for Candy.
Step 1: Understand the break-even point
The break-even point occurs when Candy's profit is zero. This means her total revenue from selling cupcakes is equal to her total expenses.
Step 2: Define the variables
Let [tex]\( x \)[/tex] be the number of cupcakes Candy sells in a month.
Let [tex]\( y \)[/tex] be the profit for Candy.
Step 3: Express revenue and expenses
Revenue:
- Since Candy makes \[tex]$2 on each cupcake, her revenue from selling \( x \) cupcakes is \( 2x \). Expenses: - Her fixed monthly expense is \$[/tex]346.
Step 4: Set up the profit equation
Profit ([tex]\( y \)[/tex]) is the difference between revenue and expenses:
[tex]\[ y = \text{Revenue} - \text{Expenses} \][/tex]
[tex]\[ y = 2x - 346 \][/tex]
Step 5: Identify the break-even equation
At the break-even point, Candy's profit ([tex]\( y \)[/tex]) is 0:
[tex]\[ 0 = 2x - 346 \][/tex]
Now, examine the given options:
1. [tex]\( 0 = 2x - 346 \)[/tex]
2. [tex]\( y = 2x - 346 \)[/tex]
3. [tex]\( 376 = -2x \)[/tex]
4. [tex]\( y = 2x + 346 \)[/tex]
The correct option representing the break-even equation, where profit ([tex]\( y \)[/tex]) equals zero, is:
[tex]\[ 0 = 2x - 346 \][/tex]
So, the correct answer is:
[tex]\[ 0 = 2x - 346 \][/tex]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.