Linear Functions

1
Linear Functions

• Used for
• Pricing
• Cost calculation
• Break even analysis

2
Finding a Fly

• Two axes give location of a point

Y axis

(1,2)
(5,1)

(0,0) ORIGIN
X axis
3
Navigating the quadrants with and - coordinates
Y Axis

-

X Axis

• We can have , and ,- and -, and -,-
  coordinates

-
4
Plotting a linear function

• Set up the equation so you have one y equal to
  the other stuff
• Construct an x,y table of coordinates by trying
  different values of x in the equation
• Plot points on graph
• Draw an extended line through the points and
  label
• Be sure to use at least 3 points to check for
  errors

5
Standard form linear equation

• Y MX C

y
Sloperise/run
Rise
run
Y intercept Where it cuts y axis x 0
x
6
Break even analysis- Income equation

• Total revenue (price)(units sold)
• In form
• Y MX C where c0
• Units vary price doesnt

7
Break even analysis- Cost equation

• Total cost (variable cost)(units) Fixed cost
• Y MX C
• Units vary
• variable cost per unit and fixed costs dont

8
Break even analysis bringing together total
revenue and total cost
Total revenue

PROFIT
Total cost
BREAK EVEN POINT
LOSS
Fixed cost
No of units