Making Consumer Choices
1 answer:
Cool question relying on real life scinarios
A.
1 loaf=inital cost for macine+cost per bread or
number of loaves=x
cost to make=y
y=100+0.8x
so to find 1 loaf, just subsitute 1 for x
y=100+.8(1)
y=100+0.8
y=100.80
1 loaf costs $100.80 to make
B.
start up cost is $100
C. linear equation is
start up cost+cost per loaf times loaf or
y=100+0.8x
in y=mx+b form
y=0.8x+100
C.
to find points, just subsitute values for x and get values for y (I used multiplules of 10 so that you wouldn't have to plot a decimal coordinate)
if we put it 0 for x, we get 100 for y
if we put in 10 for x, we get 108 for y
if we put in 20 for x, we get 116 for y
and of course don't use negative becasue you can't make negative amounts of bread
A.
1 loaf=inital cost for macine+cost per bread or
number of loaves=x
cost to make=y
y=100+0.8x
so to find 1 loaf, just subsitute 1 for x
y=100+.8(1)
y=100+0.8
y=100.80
1 loaf costs $100.80 to make
B.
start up cost is $100
C. linear equation is
start up cost+cost per loaf times loaf or
y=100+0.8x
in y=mx+b form
y=0.8x+100
C.
to find points, just subsitute values for x and get values for y (I used multiplules of 10 so that you wouldn't have to plot a decimal coordinate)
if we put it 0 for x, we get 100 for y
if we put in 10 for x, we get 108 for y
if we put in 20 for x, we get 116 for y
and of course don't use negative becasue you can't make negative amounts of bread
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Note that
is the equation of the line drawn in the pictures. This means that, for every point on the line, the y coordinate is exactly image of the x coordinate, i.e.
The inequality is satisfied by all points whose y coordinate exceeds the image of the x coordinate. Since the y axis is positively oriented upwards, a greater value for the y coordinate means that the point has to be higher than the line.
Also, since the equality inlves a and not a
sign, the line itself is excluded.
So, the correct graph is the second one.