Question

katrina wants to hire a local private company to take care of her lawn. after talking to different companies, yarrow signed a 6 - month contract with lawns lovers for monthly lawn care for her property. since katrina signed a 6 - month contract, she was given a credit of $120 discount. which equation represents this scenario?
a ( 6x = 600 - 120 )
b ( 120x - 6 = 600 )
c ( 6x - 120 = 600 )
d ( 6x + 120 = 600 )

Explanation:

Step1: Analyze the problem

Katrina signed a 6 - month contract with a $150 discount, and the total cost is $600. Let \( x \) be the monthly fee. The total cost without discount for 6 months is \( 6x \), and after a $150 discount, the equation should be LXI2? Wait, no, wait the options: Wait, maybe I misread. Wait the options: Let's re - read the problem. Wait, maybe the original problem: Wait, the correct analysis: Let the monthly fee be LXI3. For 6 months, the total before discount is LXI4. She got a $150 discount, and the total is $600? Wait no, the options: Let's check the options. Option C is LXI5? Wait no, the options: A: LXI6, B: LXI7, C: LXI8, D: LXI9. Wait, the correct logic: If the monthly fee is LXI10, for 6 months, the cost is LXI11. She has a $150 discount, so the amount she pays is \( 6x-150 \), and that equals $600. So the equation is LXI13, which is option C? Wait no, wait the options in the image: Wait the user's image: Let's parse the options again. A: LXI14 (which is LXI15), B: LXI16, C: LXI17, D: LXI18. Wait, the correct equation: Let the monthly fee be LXI19. Total cost for 6 months without discount: LXI20. She gets a $150 discount, so the amount she pays is \( 6x-150 \), and that amount is $600. So LXI22, which is option C. Wait, but let's check again. If the discount is $150, then the original price (6 months) minus discount equals the price she pays. So \( 6x-150 = 600 \), which is option C.

Wait, maybe I made a mistake. Let's re - express: Let \( x \) be the monthly fee. 6 months of lessons: \( 6x \). Discount of $150, so the cost is LXI2. This cost is $600. So \( 6x - 150=600 \), which is option C.

Answer:

C. \( 6x - 150=600 \)