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.

number of shirts cost in dollars
20
40
60
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 $1,000?

a. $445, $541, $637

b. $349 + n * $4.80

c. 135

Step-by-step explanation:

a.

number of shirts | cost in dollars

20  |  $349 + 20*$4.80 = $445

40  |  $349 + 40*$4.80 = $541

60  |  $349 + 60*$4.80 = $637

b.

Cn = $349 + n * $4.80

c.

$1000 = $349 + n * $4.80

n * $4.80 = $1000 - $349

c * $4.80 = $651

c = $651 / $4.80 = 135.625

Maximum number of shirts with a budget of $1,000 is 135.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.