Question

choose the tape diagram and equation that best represent the situation. 44 x+4 x+4 x+4 x+4 x+4 44 x x x x x 4 44 x x x x 5

Explanation:

To solve this, we analyze each tape diagram:

Step 1: Analyze the first tape diagram

The first tape diagram has 5 segments, each labeled \( x + 4 \), and the total is 44. So the equation would be \( 5(x + 4)=44 \). Let's expand this: \( 5x + 20 = 44 \), which simplifies to \( 5x=24 \), so \( x = \frac{24}{5}=4.8 \). But we need to check the other diagrams too.

Step 2: Analyze the second tape diagram

The second tape diagram has 5 segments of \( x \) and one segment of 4, with total 44. The equation would be \( 5x + 4 = 44 \). Solving this: \( 5x=44 - 4=40 \), so \( x = 8 \).

Step 3: Analyze the third tape diagram

The third tape diagram has 4 segments of \( x \) and one segment of 5, with total 44. The equation would be \( 4x+5 = 44 \). Solving this: \( 4x=44 - 5 = 39 \), so \( x=\frac{39}{4}=9.75 \).

Since the problem is about choosing the correct tape diagram and equation, we assume the context where the second diagram (with 5 \( x \)s and a 4) is correct. The equation for the second diagram is \( 5x + 4 = 44 \).

Answer:

The second tape diagram (with 5 rectangles labeled \( x \) and one labeled 4, summing to 44) and the equation \( 5x + 4 = 44 \) best represent the situation.