When buying tickets for a football match, we assume that the number of tickets purchased is X (tickets) and the total cost is Y (yuan). There are two purchase schemes:
Scheme 1: the advertising fee sponsored by the unit is 10000 yuan, and the ticket price purchased by the unit is each 60 yuan;
(Total cost = advertising sponsorship fee+ticket fee)
Option 2: The ticket purchase method is shown in the figure.
Answer the following questions:
(1) In the scheme 1, what is the functional relationship between y and x? ▲? ;
In the second scheme, when 0≤x≤ 100, the functional relationship between y and x is? ▲? ,
When x > 100, the functional relationship between y and x is? ▲;
(2) If you buy more than 100 tickets for this football match, which scheme would you choose to save the total cost? Please explain the reasons;
(3) Party A and Party B purchased 700 tickets for this football match by adopting Scheme I and Scheme II respectively, with a total cost of 58,000 yuan. How many tickets should Party A and Party B buy respectively?
25. Solution: (1)? Option 1:? y=60x+ 10000？ ;
When 0≤x≤ 100, y= 100x? ; ?
When x > 100, y=80x+2000? ;
(2) Because the functional relationship between y and x in the scheme 1 is y=60x+ 10000,
∵ x > 100, and the functional relationship between y and x in scheme 2 is y = 80x+2000；; ?
When 60x+ 10000 > 80x+2000, that is, X < 400, choose the second option to buy.
When 60x+ 10000=80x+2000, that is, x=400, both schemes are acceptable.
When 60x+ 10000 < 80x+2000, that is, X > 400, choose the scheme 1 purchase; ?
(3)? Suppose that the number of tickets purchased by Party A and Party B for this football match is Party A and Party B respectively;
Party A and Party B purchase tickets for this football match by adopting Scheme I and Scheme II respectively.
There are two situations for Company B to buy tickets for this football match: b≤ 100 or B > 100.
(1) When b≤ 100, the ticket fee for the football match purchased by Company B is 100b.
Solve? Do not meet the meaning of the question, give up; ?
(2) When B > 100, the entrance fee for football match purchased by Company B is 80b+2000.
Solve according to the meaning of the problem
A: Company A and Company B purchased 500 and 200 air tickets respectively.