Question

Andre is setting up rectangle tables for a party. He can fit 6 chairs around a single table. Andre lined up 10 tables end to end and tries to fit 60 chairs around them, but he is surprised when he cannot fit them all. 1. write an equation for the relationship between the number of chairs c and the number of tables t a. the tables are apart from each other: b. the tables are placed end to end????? plz help I so stuck plzzzz

Answer 1

If there is one table (t=1) then 6 chairs (c=6) can be placed around the table, 2 along the length on each side and 1 at each end.
When t=2, and the tables are end to end (joined at their width) c=10, that is, 4 chairs on each side of the double table and 1 at each end. Each time a table is added c increases by 4 so we can write c=4t+2 the constant 2 being the single chair at each end. If the tables are separated then c=6t.