Question

choose the tape diagram and equation that best represent the situation. which tape diagram matches this situation? there are 6 students at tutoring. the teacher assigned each of them the same number of problems to complete. then she assigned each student 4 more problems. 42 problems were assigned in all.

Explanation:

Step1: Analyze the problem setup

Each of 6 students gets $x$ problems, then 4 more. Total problems = 42. So each student has $x+4$ problems, 6 total students.

Step2: Match to tape diagram

The first diagram has 6 sections of $x+4$, summing to 42, which matches. The corresponding equation is $6(x+4)=42$.

Answer:

The correct tape diagram is the top one (with 6 sections each labeled $x+4$, totaling 42), and the matching equation is $\boldsymbol{6(x+4)=42}$.