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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Answer:
Length of the flower garden = 29 meters
Width of the flower garden = 16 meters
Step-by-step explanation:
I have also attached a diagram for your convenience
Now First let us see the data we are given with:
Arif's backyard length = 37 meters
Arif's backyard Width = 24 meters
Area that should be left with grass = 424 m^2
Now lets suppose the width of the stirp of grass be "a"
According the image the area of backyard will be:
Area ABCD = 24 x 37
Area ABCD = 888 m^2
The length LM will be = (37 -2a)
The Width LO will be = (24 -2a)
Area LMNO = (37 -2a) x (24 -2a)
Area LMNO = 888 -74a -48a +4a^2
Area LMNO = 4a^2 -122a + 888
Now in order the to calculate the area of the grass strip we must subtract the area LMNO from the total area ABCD and we already know that the areas the area of grass strip should be 424 m^2
hence, A = Area ABCD - Area LMNO
424 = 888 - (4a^2 -122a + 888)
424 = 888 - 4a^2 +122a - 888
424 = -4a^2 +122a
4a^2 -122a +424=0
(We can solve this quadratic equation by breaking the middle term method)
2(2x-53)(x-4) = 0
2(2x-53) = 0
2x -53 = 0
x = 53/2
x = 26.5 (Not Possible)
x-4 = 0
x = 4
Length of the flower garden = 37 -2(4)
Length of the flower garden = 29 meters
Width of the flower garden = 24 -2(4)
Width of the flower garden = 16 meters
