The drama club is printing t-shirts for its members. The printing company charges $6.50
per shirt plus a setup fee of $40.
2. Which of the following are solutions for this problem? Hint: There are TWO correct
answers.
t = 25 C = 202.50
Ot= 35 C = 205
O t = 50 C = 365

Respuesta :

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.