At a chess tournament, the number of competitors in each round is 50% of the number of competitors in the previous round. what type of relationship most appropriately models this situation?

solution: It is a geometric progression. and most appropriate relationship is x×.

explanation:

let the number of competitors in first round be x.

number of competitors in 2nd round will be .

number of competitors in 3rd round will be =

similarly, number of competitors in next round will be =  

and so on.

so number of competitors in various rounds are forming a sequence

i.e.,

now ratio of second and first term =   =  

similarly, ratio of third and fourth term =   =  

and so on.

so, it is forming a geometric progression .

where the first term i.e.,a = x

and common ratio i.e., r = .

so here, most appropriate relationship is

i.e., x×.

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13