Kristen is considering having two different companies create t-shirts for her Math Club. Here are the two company chooses: Awesome T-shirts charges a $80 up-front fee and $2.50 for each t-shirt, t.
Walden's Tee Company charges a $50 up-front fee and $4.00 for each t-shirt, t.

Kristen needs to order 100 t-shirts. Which company should she choose and why?

9514 1404 393

  Awesome T-shirts; the order is for more than 20 shirts

Step-by-step explanation:

The cost of "t" t-shirts at Awesome will be ...

  A = 80 +2.50t

The cost of "t" t-shirts at Walden's will be ...

  W = 50 +4.00t

These costs are equal when ...

  A = W

  80 +2.50t = 50 +4.00t

  30 = 1.50t . . . . . . . . . . . . subtract 50+2.50t

  20 = t . . . . . . . . . . . . divide by 1.50

If the order is for more than 20 t-shirts, the lower per-shirt price at Awesome will mean the total cost is lower at Awesome. Kristen is planning to order 100 t-shirts, so will get a lower price at Awesome.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be