Question

Use the table to answer the question.

Cats 5
Dogs 2
There are 2 dogs for every 5 cats at an animal shelter. Use this information to make a ratio table to determine how many dogs there would be if there were 15 cats.(2 points)
Cats 5
Dogs 2

Answers

Answered by GPT-4o mini
To determine the number of dogs if there are 15 cats, we can set up a ratio table based on the original ratio of cats to dogs, which is 5 cats for every 2 dogs.

The ratio can be expressed as:

- Cats: 5
- Dogs: 2

We can find the number of dogs corresponding to 15 cats using a proportion based on this ratio:

\[
\frac{\text{Dogs}}{\text{Cats}} = \frac{2}{5}
\]

Now, if we let \( x \) be the number of dogs when there are 15 cats, we can set up the equation:

\[
\frac{x}{15} = \frac{2}{5}
\]

Cross-multiplying gives:

\[
5x = 2 \times 15
\]
\[
5x = 30
\]
\[
x = \frac{30}{5} = 6
\]

So, when there are 15 cats, there would be 6 dogs.

Now we can summarize this information in a ratio table:

| Cats | Dogs |
|------|------|
| 5 | 2 |
| 10 | 4 |
| 15 | 6 |

Thus, when there are 15 cats, there would be 6 dogs.
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