### Part A: Rewritten Description
Let's assume the farmer earns [tex]$2 for each orange she sells and has to pay $[/tex]50 for fertilizer.
So, for any number of oranges [tex]\( n \)[/tex]:
1. Earnings from selling oranges: If the farmer sells [tex]\( n \)[/tex] oranges, she earns [tex]$2 per orange. Thus, if she sells \( n \) oranges, her total earnings are \( 2n \) dollars.
2. Cost of fertilizer: The farmer needs to pay $[/tex]50 for fertilizer. This is a constant cost regardless of the number of oranges sold.
3. Net earnings: The net amount of money the farmer earns is determined by subtracting the fertilizer cost from her earnings. Therefore, her net earnings after paying for fertilizer would be [tex]\( 2n - 50 \)[/tex] dollars.
In summary, if the farmer sells [tex]\( n \)[/tex] oranges, she will earn a total of [tex]$2 per orange, but after paying $[/tex]50 for fertilizer, her net earnings will be [tex]\( 2n - 50 \)[/tex] dollars.
### Part B: Algebraic Expression
Based on the description in Part A, we can write the algebraic expression for the farmer's net earnings.
- Let [tex]\( n \)[/tex] represent the number of oranges sold.
- The earning per orange is [tex]$2, thus the total earnings from selling \( n \) oranges is \( 2n \).
- The fertilizer cost is $[/tex]50, a constant value.
The algebraic expression for the farmer's net earnings after paying for the fertilizer is:
[tex]\[ 2n - 50 \][/tex]
This algebraic expression can now be used to calculate the net earnings for the farmer for any given number of oranges [tex]\( n \)[/tex] she sells.
