Question

Which expression can be used to determine the number of people who can sit as a group if y tables are joined to form 1 long table?1.2(2y + 1)2.3(y + 1)3.4(y + 1)4.6y

Answer 1

2(2y + 1)

Step-by-step explanation:

From the picture, we can see that if there is 1 table, 6 people can sit as a group, and if there are 2 tables 10 people can sit as a group.

So, we know that when we replace y by 1, the expression should be equal to 6 and when we replace y by 2, the expression should be equal to 10

The only option that satisfies these conditions is the first one, because:

For y = 1

2(2y + 1) = 2(2*1 + 1) = 2(2+1) = 2(3) = 6

For y = 2

2(2y +1) = 2(2*2 + 1) = 2(4+1) = 2(5) = 10

Therefore, the answer is 2(2y + 1)