Question

choose the tape diagram and equation that best represent the situation. which tape diagram matches this situation? there are 7 students at tutoring. the teacher assigned each of them the same number of problems to complete. then he assigned each student 4 more problems. 56 problems were assigned in all.

Explanation:

Step1: Define variable for initial problems

Let $x$ = initial problems per student.

Step2: Total problems per student

Each student gets $x+4$ problems.

Step3: Total problems for 7 students

Total: $7(x+4) = 56$

Step4: Match to tape diagram

7 segments of $x+4$ sum to 56.

Answer:

The top tape diagram (7 sections each labeled $x+4$, totaling 56) and the equation $7(x+4)=56$ best represent the situation.