Answer:
A. ![\left \lfloor \frac{10}{2.25} \right \rfloor](https://tex.z-dn.net/?f=%5Cleft%20%5Clfloor%20%5Cfrac%7B10%7D%7B2.25%7D%20%5Cright%20%5Crfloor)
Step-by-step explanation:
We are given,
The cost of one book = $2.25
Since, it takes $2.25 to buy 1 book.
The, for $10, we can get
i.e.
= 4.44
Since, number of books cannot be in decimals.
So, the closest integer to 4.44 is 4.
Hence, we can buy 4 books from $10.
Now, according to the options:
A. ![\left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4](https://tex.z-dn.net/?f=%5Cleft%20%5Clfloor%20%5Cfrac%7B10%7D%7B2.25%7D%20%5Cright%20%5Crfloor%20%3D%20%5Cleft%20%5Clfloor%204.44%5Cright%20%5Crfloor%20%3D%204)
B. ![\left \lceil \frac{10}{2.25} \right \rceil = \left \lceil 4.44 \right \rceil=5](https://tex.z-dn.net/?f=%5Cleft%20%5Clceil%20%5Cfrac%7B10%7D%7B2.25%7D%20%5Cright%20%5Crceil%20%3D%20%5Cleft%20%5Clceil%204.44%20%5Cright%20%5Crceil%3D5)
C. ![\frac{10}{\left \lceil 2.25\right \rceil} =\frac{10}{3} =0.33](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B%5Cleft%20%5Clceil%202.25%5Cright%20%5Crceil%7D%20%3D%5Cfrac%7B10%7D%7B3%7D%20%3D0.33)
D. ![\frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B%5Cleft%20%5Clfloor%202.25%5Cright%20%5Crfloor%7D%20%3D%20%5Cfrac%7B10%7D%7B2%7D%20%3D%205)
Hence, we see that from the options, A is correct.