SOLUTION: Mark is selling buttons for $1.50 at a craft fair. He paid $25 for the booth space and $50 for supplies. a.How many buttons will he need to sell to break-even (zero profit)?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mark is selling buttons for $1.50 at a craft fair. He paid $25 for the booth space and $50 for supplies. a.How many buttons will he need to sell to break-even (zero profit)?       Log On


   

Question 700506: Mark is selling buttons for $1.50 at a craft fair. He paid $25 for the booth space and $50 for supplies.
a.How many buttons will he need to sell to break-even (zero profit)?
b.If he sells 135 buttons, what will his profit be?

For a. I got f(x)= 1.50x+75
and b. 40=x
Found 2 solutions by lynnlo, josmiceli:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
(1)sell 50 buttons
(2)profit $127.50

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Profit is ( income ) - ( costs )
++P+=+I+-+C+
Let +x+ = number of buttons sold
+I+=+1.5x+
+C+=+25+%2B+50+
+C+=+75+
+P+=+1.5x+-+75+
(a)
When profit = 0
+0+=+1.5x+-+75+
+1.5x+=+75+
+x+=+50+
If he sells 50 buttons, he breaks even
(b)
+P+=+1.5x+-+75+
+P+=+1.5%2A135+-+75+
+P+=+202.5+-+75+
+P+=+127.5+
His profit is $127.50