https://file.aiquickdraw.com/mathbot/file/1729041571305qeil5oul.jpg

To solve this problem, we need to determine how many more students would choose dogs as their favorite pet than cats, based on a total of 210 students at the school.

### Step-by-Step Solution:

1. **Given Data**: The table shows that out of 30 surveyed students:
   - 15 chose dogs.
   - 12 chose cats.
   - 3 chose fish.

2. **Proportion for Dogs and Cats**: 
   - The proportion of students who like dogs is \( \frac{15}{30} = 0.5 \).
   - The proportion of students who like cats is \( \frac{12}{30} = 0.4 \).

3. **Predictions for 210 Students**:
   - For **dogs**: \( 0.5 \times 210 = 105 \) students.
   - For **cats**: \( 0.4 \times 210 = 84 \) students.

4. **Difference in Preference**:
   - The difference in the number of students who prefer dogs over cats is \( 105 - 84 = 21 \) students.

However, the result of 70 students provided in the image is incorrect based on the proportions and total number of students. The correct answer should be **21 more students** would choose dogs than cats.

Would you like further details or clarification on any part of the solution?

Here are 5 follow-up questions to expand on this problem:

1. How would the prediction change if there were 300 students in the school?
2. How do the proportions for fish compare to dogs and cats?
3. What would happen to the predictions if the number of students who preferred dogs increased to 20?
4. How would you calculate the total number of students that prefer either dogs or cats combined?
5. Can you express the difference in percentages rather than the number of students?

**Tip**: Always check your proportions carefully when scaling up from a sample size to a larger population!

If there are 210 students in the school, predict how many more students would choose dogs as their favorite type of pet than cats.

Learn how to predict the number of students who would choose dogs over cats as their favorite pet. This problem explores proportions and scaling, based on a survey of 30 students, scaled to a total population of 210 students. Discover the step-by-step solution and the correct answer: 21 more students prefer dogs.

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