Question

kara's custom tees experienced fixed costs $200 and variable costs of $3 a shirt. writea n equation that can be used to determine the total expenses encountered by kara's custom tees.

let x be the number of shirts, and let c(x) be the total cost of producing x shirts.

then c(x)=?
the cost of producing 8 shirts is $?

Answer 1

cost of producing shirts = fixed costs + variable costs

Answer 2

The fixed costs are $200. They are fixed costs because no matter how many shirts are made, the fixed costs remain at $200.

The variable costs are variable because they depend on the number of shirts made.
Each shirt has a cost of $3.
How much would x shirts cost?

Answer 3

$24?

Answer 4

8 shirts times $3=24

Answer 5

Yes, 8 shirt contribute a variable cost of $24 since 8 * $3 = $24
1 shirt has a variable cost of $3 * 1 = $3
5 shirts have a variable cost of $3 * 5 = $15
The unknown number of shirts, x, has what variable cost?

Answer 6

200+3x

Answer 7

Correct.

C(x) = 200 + 3x

Now to find the cost of making 8 shirts, plug in 8 for x in the function above.

Answer 8

224?

Answer 9

Correct.

Answer 10

i'm smart lol

Answer 11

jk

Answer 12

I see. Good job!

Answer 13

thank you very much for your help :-)

Answer 14

You're welcome.