Question

Samantha works at an animal shelter. She decides to track the total number of kittens that are brought in. The equation k=4w+3 represents the total number of kittens, where w represents the number of weeks that have passed since she started counting.

Which statement correctly analyzes the domain of this situation?

A. The domain represents the weeks that have passed since Samantha started counting the kittens. The domain is all real numbers.

B. The domain represents the weeks that have passed since Samantha started counting the kittens. The domain is all whole numbers.

C. The domain represents the total number of kittens that have come into the shelter. The domain is all whole numbers.

D. The domain represents the total number of kittens that came into the shelter. The domain is all real numbers.

Answer 1

B

Explanation:

The equation
`k=4w+3` represents the total number of kittens, where
`w` represents the number of weeks that have passed since Samantha started counting.

This means options C and D are false, because they say the total number of kittens that have come into the shelter.

`w` 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.