Question

question fill in the parts-whole model for the following equation. (____) − (4y) = (y) image of a parts-whole model with a top rectangle and two bottom rectangles

Explanation:

Step1: Recall subtraction relationship

In subtraction, \( \text{Whole} - \text{Part} = \text{Other Part} \), so \( \text{Whole} = \text{Part} + \text{Other Part} \).

Step2: Solve for the whole

Given \( \text{Whole} - 4y = y \), add \( 4y \) to both sides: \( \text{Whole} = 4y + y = 5y \).

Step3: Identify parts in model

The top box is the whole (\( 5y \)), bottom left is \( 4y \), bottom right is \( y \) (or vice versa for the two parts, but since the subtracted part is \( 4y \), one part is \( 4y \) and the other is \( y \)).

Answer:

Top box: \( 5y \), Bottom left: \( 4y \), Bottom right: \( y \) (or bottom left: \( y \), bottom right: \( 4y \) depending on model labeling, but the whole is \( 5y \))