Select the correct answer. Mark and Nina own different flower shops, which both open at the same time in the morning. Function \( m \) models the number of roses Mark has at his flower shop, and function \( n \) models the number of roses in Nina's flower shop, \( x \) hours after the shops open. \( m(x)=616-24 x \) \( n(x)=552-36 x \) Which function correctly represents how many more roses Mark has at his flower shop than Nina has at hers, \( x \) hours after the shops open? A. \( (m-n)(x)=64-60 x \) B. \( (m-n)(x)=64-16 x \) C. \( (m-n)(x)=64+12 x \) D. \( (m-n)(x)=64-12 x \)

To determine how many more roses Mark has than Nina, we can subtract Nina's function from Mark's function: \[ (m-n)(x) = m(x) - n(x) = (616 - 24x) - (552 - 36x) \] Simplifying this gives: \[ (m-n)(x) = 616 - 24x - 552 + 36x = 64 + 12x \] So the correct answer is C: \( (m-n)(x)=64+12 x \). Now, let's add some fun facts! Did you know that roses were cultivated as early as 500 BC? They hold a significant place in various cultures symbolizing love, passion, and even war! Each rose color has its own unique meaning, making them a versatile flower often used for gifts. In the real world, understanding such functions can help flower shop owners manage their inventory more effectively. By modeling the decline of stock over time, they can strategically plan for orders, ensuring they maintain the right amount of flowers to meet customer demand without wastage!