Seventy cats are randomly chosen from different animal shelters in the city. Of these 70 cats, 12 are kittens. The animal shelters house 2,200 cats each year. Based on the sample data, approximately how many cats in the city’s shelters are kittens? (1 point)

Question

Responses

2,200 cats
2,200 cats

377 cats
377 cats

58 cats
58 cats

1,823 cats

Answer 1

To estimate the number of kittens in the animal shelters, we can use the proportion of kittens in the sample of cats.

From the sample:

• Total cats = 70
• Kittens = 12

The proportion of kittens in the sample is: \[ \text{Proportion of kittens} = \frac{12}{70} \]

Now, to find the estimated number of kittens in the total population of cats (2,200), we apply this proportion: \[ \text{Estimated kittens} = \text{Total cats} \times \text{Proportion of kittens} \] \[ \text{Estimated kittens} = 2,200 \times \frac{12}{70} \] \[ \text{Estimated kittens} = 2,200 \times 0.1714 \approx 377 \]

So, based on the sample data, approximately 377 cats in the city’s shelters are kittens.

The correct response is: 377 cats.