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?

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

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

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

T(40) = $541

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

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

T(60) = $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.

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