At Sports Shoe Warehouse, the cost of 6 pairs of volleyball shoes is $600 plus $83 for each additional pair. From Winning Team Shoes, the cost of 6 pairs of volleyball shoes is
$480 plus an additional 11% for each additional pair. For how many total pairs of
volleyball shoes does each vendor cost about the same?

about 17 pairs

about 25 pairs

about 18 pairs

about 16 pairs

Sorry if I'm wrong but I believe it is 16 pairs of volleyball shoes.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2