Mrs. baker paid 2.50 for 5 pounds of bananas. write an equation relating the cost c to the number of pounds p of bananas. how much would mrs. baker pay for 8 pounds of bananas
first, we define the variables:
x: number of years after 1950
f (x): amount of vinyl sold.
then, with the variables defined, we have:
68594 vinyl records were sold in 1958 > f (8) = 68594
91299 vinyl records were sold in 1961 > f (11) = 91299
38720 vinyl records were sold in 1952 > f (2) = 38720
161743 vinyl records were sold in 1967 > f (17) = 161743
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stepbystep explanation:
the graph in the attached figure
stepbystep explanation:
we have
using a graphing tool
the graph in the attached figure
the roots are ( xintercepts) x=0.5,x=1,x=3
the yintercept is the point (0,3)
a. we have two
lines: y = 4x and
y = 8x^1
given two simultaneous equations that are both to be
true, then the solution is the points where the lines cross. the intersection is
where the two equations are equal. therefore the solution that works for both
equations is when
4x = 8x^1
this is where the two lines will cross and that is the
common point that satisfies both equations.
b. 4x = 8x^1
x 4x 8x^1
3 7
8.33
2 6 8.5
1 5 9
0 4

1 3
7
2 2
7.5
3 1 7.67
the table shows that none of the x values from 3 to 3 is
the solution because in no case does
4x = 8x^1
to find the solution we need to rearrange the equation to
find for x:
4x = 8x^1
multiply both sides with x:
4xx^2 = 8x1
x^2+4x1=0
x= 4.236, 0.236
therefore there are two points that satisfies the
equation.
find y:
x=4.236
y = 4x = 4 – (4.236)
= 8.236
y = 8x^1 = .236)^1
= 8.236
x=0.236
y = 4x = 4 – (0.236) = 3.764
y = 8x^1 = 8(0.236)^1
= 3.764
thus the two lines cross at 2 points:
(4.236, 8.236) & (0.236, 3.764)
c. to solve
graphically the equation 4x = 8x^1
we would graph both lines: y = 4x and y
= 8x^1
the point on the graph where the lines cross is the
solution to the system of equations.
just graph the points on part b on a cartesian coordinate
system and extend the two lines. the
solution is, as stated, the point where the two lines cross on the graph.
stepbystep explanation:
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