<span>1) Name the variables
Number of days: x
rent: y
2) state the initial points
x y
days $
3 285
60 510
3) assume linear relation:
=> (y - yo) / (x - xo) = (y1 - yo) / (x1 - xo)
=> (y - 285) / (x - 3) = (510 - 285) / (60 - 3)
=> (y - 285) / (x - 3) = 225 / 57 = 75 / 19
=> 19 (y - 285) = 75 (x - 3)
=> 19y - 19*285 = 75x - 75*3
=> 19y - 75x = 5415 - 225
=> 19y - 75x = 5190
=> standar form = -75x + 19y = 5190
PART B: Write the equation obtained in Part A using function notation.
-75x + 19y = 5190
=> 19y = 5190 + 75x
=> y = 5190/19 + (75/19)x
=> function notation = f(x) = (75/19)x + 5190 / 19
PART C: Describe the steps to graph the equation obtained above on the
coordinate axes. Mention the labels on the axes and the intervals.
1) Coordinate axes:
x: number of days
y: rent
2) draw the two given points: (3,285) and (60, 510)
3) draw the line that joins those points from the interception of the y-axis until some points further (60, 510).
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40 common factors multiplication
-2x -9y = -25
-(-4x -9y =-23)
2x = -2
x = -1
-2(-1) -9y = -25
2 - 9y = -25
-9y = -25 -2
-9y = -27
y = 3
(-1,3)
