To find out how many cats in the city's shelters are kittens based on the sample data, we can use the ratio of kittens in the sample to estimate the total number of kittens in the shelters.
From the sample:
- Total cats sampled = 70
- Kittens sampled = 12
First, we can calculate the proportion of kittens in the sample:
\[ \text{Proportion of kittens} = \frac{\text{Number of kittens}}{\text{Total number of cats}} = \frac{12}{70} \]
Next, we can apply this proportion to estimate the number of kittens among the total 2,200 cats in the shelters:
\[ \text{Estimated number of kittens} = \text{Total number of cats in shelters} \times \text{Proportion of kittens} = 2,200 \times \frac{12}{70} \]
Now we can calculate it:
\[ \text{Estimated number of kittens} = 2,200 \times \frac{12}{70} = 2,200 \times 0.17142857 \approx 377.14 \]
Since we are estimating whole cats, we round to the nearest whole number.
Thus, approximately 377 cats in the city's shelters are kittens.
The correct answer is 377 cats.