Given:
Setup fee = $40
Additional charges = $6.50 per t-shirt
To find:
The solutions for this problem.
Solution:
Let C be the total cost for t t-shirt.
Additional cost of 1 t-shirt = $6.50
Additional cost of t t-shirt = $6.50t
Setup fee = $40
Then, Total cost = setup fee + Additional charges
[tex]C=40+6.50t[/tex]
For t=25,
[tex]C=40+6.50(25)[/tex]
[tex]C=40+162.5[/tex]
[tex]C=202.5[/tex]
So, t = 25, C = 202.50 is a solution.
Similarly,
For t=35,
[tex]C=40+6.50(35)[/tex]
[tex]C=40+227.5[/tex]
[tex]C=267.5\neq 205[/tex]
So, t = 35, C = 205 is not a solution.
For t=50,
[tex]C=40+6.50(50)[/tex]
[tex]C=40+325[/tex]
[tex]C=365[/tex]
So, t = 50, C = 365 is a solution.
Therefore, the correct options are A and C.