The athletic director at a local​ middle-high school is ordering team jerseys for the different school teams. Sports Ink charges a design fee of​ $22.50 for each kind of jersey in addition to the cost of the jerseys. The table shows the total costs for the different jerseys the athletic director plans to order. Complete questions 1-4 below. Kind of Jersey Total Cost
25 boys' basketball $335.00
25 girls' basketball $397.25
35 boys' football $722.15
30 girls' soccer $322.20
20 girls' softball $362.30
25 boys' baseball $497.25
1. Write a linear function in the form ymxb to model the cost y for each of the different kinds of jerseys x.
2. What would be the cost of 45 jerseys for the​ girls' soccer​ team?
3. Which of the sports jerseys are the most​ expensive? Least​ expensive?
4. Sports Ink is offering a discount to schools that buy more than 50 football jerseys. The discounted cost per jersey is​ $15.99. Should the athletic director order 50 football jerseys even though she needs only​ 35? Explain.