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For a school fundraiser, Elena will make T-shirts. She will order T-shirts and print graphics on them. Elena must spend $349 on a printing machine and $4.80 per shirt for the blank shirts, ink, and other supplies

a. Complete the table giving the total cost Elena will spend to make each specific number of T-shirts.


b. Write an expression for the cost of making n T-shirts


c. What is the maximum number of T-shirts Elena can make with a budget of $1000?
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For a school fundraiser Elena will make Tshirts She will order Tshirts and print graphics on them Elena must spend 349 on a printing machine and 480 per shirt f class=

Respuesta :

rainder

a)

20 shirts | 349 + 20(4.8)

40 shirts | 349 + 40(4.8)

60 shirts | 349 + 60(4.8)

(please simplify them yourself)

b) Tn = 349 + n(4.8)

c) (1000 - 349)/4.8 ............... rounded down.

abidemiokin
  • An expression for the cost of making n T-shirts is T(40) = $349 + $4.80(40)
  • The maximum number of T-shirts Elena can make with a budget of $1000 is 136 t-shirts.

Given that the cost of 1 shirt is $4.80, the cost of n shirts will be $4.80n

If Elena must spend $349 on printing and $4.80 per shirt for the blank shirts, ink, and other supplies, the total cost for n t-shirts will be given as:

T(n) = $349 + $4.80n

If the number of t-shirts is 20, then;

T(20) = $349 + $4.80(20)

T(20) = $445

  • The price of 20 shirts is $445

If the number of t-shirts is 40, then;

T(40) = $349 + $4.80(40)

T(40) = $541

  • The price of 40 shirts is $541

If the number of t-shirts is 60, then;

T(60) = $349 + $4.80(60)

T(60) = $637

  • The price of 60 shirts is $637

An expression for the cost of making T-shirts is T(40) = $349 + $4.80(40)

If T(n) = 1000, then;

1000 = $349 + $4.80(n)

1000 - 349 = 4.8n

4.8n = 651

n = 651/4.8

n = 135.625

Hence the maximum number of n T-shirts Elena can make with a budget of $1000 is 136 t-shirts.

Learn more on functions here: https://brainly.com/question/20384115

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