SOLUTION: Two tablets of Antacid cost $23.50 while 5 tablets cost $58.75. a) Make a linear equation b) Graph the equation c) Find out how much 14 tablets of Antacid cost

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two tablets of Antacid cost $23.50 while 5 tablets cost $58.75. a) Make a linear equation b) Graph the equation c) Find out how much 14 tablets of Antacid cost       Log On


   

Question 1099915: Two tablets of Antacid cost $23.50 while 5 tablets cost $58.75.
a) Make a linear equation
b) Graph the equation
c) Find out how much 14 tablets of Antacid cost
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = cost in dollars of +n+ tablets
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(a)
Use the general point-slope formula
+%28+C+-+23.5+%29+%2F+%28+n+-+2+%29+=+%28+58.75+-+23.5+%29+%2F+%28+5+-+2+%29+
+%28+C+-+23.5+%29+%2F+%28+n+-+2+%29+=+35.25+%2F+3+
+%28+C+-+23.5+%29+%2F+%28+n+-+2+%29+=+11.75+
Multiply both sides by ++n+-+2+
+C+-+23.5++=+11.75%2A%28+n+-+2+%29+
+C+-+23.5+=++11.75n+-+23.5+
+C+=+11.75n+
-------------------------
(b)
+n+=+14+
+C+=+11.75%2A14+
+C+=+164.5+
$164.50
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check the equation:
Does it go through ( 2, 23.5 ) ?
+C+=+11.75n+
+23.5+=+11.75%2A2+
+23.5+=+23.5+
and
Does it go through ( 5, 58.75 ) ?
+58.75+=+11.75%2A5+
+58.75+=+58.75+
OK