To determine how many bales of hay need to be sold to earn a revenue of [tex]$1,425, we can use the given revenue function:
\[ R(x) = 4.75x \]
We are given that the target revenue is $[/tex]1,425:
[tex]\[ R(x) = 1,425 \][/tex]
We need to solve for [tex]\( x \)[/tex]. Set up the equation:
[tex]\[ 4.75x = 1,425 \][/tex]
To solve for [tex]\( x \)[/tex], divide both sides of the equation by 4.75:
[tex]\[ x = \frac{1,425}{4.75} \][/tex]
When you perform the division:
[tex]\[ x \approx 300 \][/tex]
So, to earn a revenue of $1,425, the farm needs to sell approximately 300 bales of hay. Therefore, the correct answer is:
B) 300