Final answer:
Carl purchased a total of 14 scratch posts for $224.42. To find the cost per scratch post, we divide the total cost by the number of posts, resulting in approximately $16.03 per post, with the closest option being $16.00.
Step-by-step explanation:
Carl's total purchases consisted of 7 scratch posts initially, 3 more the next day, and then another 4 for his organization. In total, Carl bought 7 + 3 + 4 = 14 scratch posts. The total amount spent was $224.42, and we want to find the cost of each individual scratch post. To do that, we divide the total amount spent by the total number of scratch posts. So, the calculation would be:
Cost per scratch post = Total spent / Total number of scratch posts
Cost per scratch post = $224.42 / 14 = $16.03
Since none of the options provided match exactly $16.03, we need to consider the closest provided option. The closest listed option is C. $16.00.