Question

4. A custom T-shirt company charges a $200.00 set up fee and $5.00 per T-shirt. Approximately how many T-shirts must be produced so that the total cost per T-shirt is $5.33.

A. 1,000 t-shirts
B. 200 t-shirts
C. 600 t-shirts
D. 1,266 t-shirts

Answer 1

C. 600 t-shirts

Explanation:

Let x represent the number of t-shirts sold.

The company charges $5.00 per shirt; this gives us the expression 5x.

The company also charges a $200 set up fee; adding this on gives us 5x+200.

To find the cost per shirt, we would divide by the number of shirts, x, and it equals $5.33:

`(5x+200)/(x)=5.33`

Multiply both sides by x:

`(5x+200)/(x)* x=5.33* x\\\\5x+200=5.33x`

Subtract 5x from each side:

5x+200-5x = 5.33x-5x

200 = 0.33x

Divide both sides by 0.33:

200/0.33 = 0.33x/0.33

606 = x

This means approximately 600 shirts must be produced.

Answer 2

606 rounded to 600 T-shirts would have to be produced to make the cost 5.33, ultimately making you answer letter C.