Question

choose the tape diagram and equation that best represent the situation.
54
x+2 x+2 x+2 x+2 x+2 x+2
54
x x x x x x 2
54
x x 6

Explanation:

Step1: Analyze the first tape diagram

The first tape diagram has 6 sections, each labeled \( x + 2 \), and the total is 54. So the equation would be \( 6(x + 2)=54 \). Let's check the structure: 6 times \( (x + 2) \) equals 54.

Step2: Analyze the second tape diagram

The second tape diagram has 6 sections of \( x \) and one section of 2, total 54. The equation would be \( 6x+2 = 54 \), which is different from the first one's structure.

Step3: Analyze the third tape diagram

The third tape diagram has 2 sections of \( x \) and one section of 6, total 54. The equation would be \( 2x + 6=54 \), which is different from the first one's structure.

Assuming the situation is about 6 equal parts each of \( x + 2 \) summing to 54, the first tape diagram is correct. The equation is \( 6(x + 2)=54 \).

Answer:

The top tape diagram (with 6 sections of \( x + 2 \)) and the equation \( 6(x + 2)=54 \)