The equation of a circle:

(h, k) - center
r - radius
Look at the picture:
center: (4, -2) → h = 4, k = -2
radius: r= 5
Substitute:

Answer:
B
Step-by-step explanation:
The equation
represents the total number of kittens, where
represents <u>the number of weeks that have passed since Samantha started counting.</u>
This means options C and D are false, because they say <u>the total number of kittens that have come into the shelter</u>.
represents the number of weeks, weeks can be counted 0 weeks, first week, second week and so on, so option B is true (the domain is all whole numbers) because 0, 1, 2, 3, ... are whole numbers.
Number of weeks can't be a negative number. Since "real numbers" include negatives, therefore, we exclude option A.
Same line so the correct answer is b