Question

hannah has a dog and a cat. her dog has 9 spots. her dog has 3 times as many spots as her cat. how many spots does hannah’s cat have? let s stand for the number of spots the cat has. which bar model represents the problem? four bar model images omitted

Explanation:

Part 1: Finding the number of spots on the cat

Step 1: Define the relationship

Let \( s \) be the number of spots on the cat. The dog has 3 times as many spots as the cat, and the dog has 9 spots. So we can write the equation \( 3s = 9 \).

Step 2: Solve for \( s \)

To find \( s \), we divide both sides of the equation \( 3s = 9 \) by 3. So \( s=\frac{9}{3} = 3 \).

The cat has \( s \) spots, and the dog has 3 times as many spots as the cat, so the dog's bar should be 3 sections of \( s \), and the total length of the dog's bar is 9 (since the dog has 9 spots). Looking at the options, the bottom - right model has the cat with \( s \) and the dog with three \( s \) sections (representing 3 times the cat's spots) with a total length of 9.

Answer:

Hannah's cat has 3 spots.

Part 2: Identifying the correct bar model