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? Justify in words why your answer is correct.
a) 4(y + 1)
b) 369 + 1)
c) 2(2y + 1)
d) 6y

c) 2(2y+1)

Step-by-step explanation:

This is because when the tables are together there can be 4 people at each table, plus 1 at either end. Whatever equation you have must have +2 in it, to account for the ends of the tables. The number of tables (y) must be multiplied by 4 because there are always 4 people per table. The number of tables is unknown so 4y must be in your equation.

2(2y+1) simplifies to 4y+2, which is the equation we want.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

step-by-step explanation: