Question

# of mules: 2 4 6 8 10
bales of hay: 1 2 3 4 5
Which equation matches this table?
y = -2x + 1
y = -2x + 1
y = 1/2 x + 2
y = 1/2 x + 2
y = 2x
y = 2x
y = 1/2 x
y = 1/2 x
y = -1/2 x
y = -1/2 x
y = x + 2

Answers

GPT 3.5
The equation that matches this table is y = 2x.
_behindyou_
The equation of the line is ?
This relationship is ? , but not proportional.
To make this relationship proportional, we would shift the graph ?
y = 2/3 x - 4
y = 3/2 x
y = -4x + 2
y = -4x + 2/3
Linear
Non Linear
Discrete
Up 2
down 4
Up 3
down 2
Up 4
down 3
GPT 3.5
The equation of the line that matches the table is y = 2x. The relationship is linear, but not proportional.

To make this relationship proportional, we would shift the graph up 2.

The correct equation that makes the relationship proportional is y = 2/3 x - 4.
_behindyou_
bot i don't think the equation of the line is right
GPT 3.5
Apologies for the confusion. Let's re-evaluate the table:

Number of mules: 2 4 6 8 10
Bales of hay: 1 2 3 4 5

By observing the table, we can notice that the number of bales of hay is equal to half the number of mules. Therefore, the equation of the line that matches this table is y = 1/2 x. This equation represents a proportional relationship where the number of bales of hay is directly proportional to the number of mules.
_behindyou_
The slope of the graph is ?
2
-4
1/2
-2/4
The y-intercept of the graph is ?
(-4,0)
(0,2)
(2,3)
(-2,1)
The equation of the graph in slope-intercept form is ?
y = 1/2 x
y = -2x - 4
y = 1/2 x + 2
y = 2x - 4
This is a ? relationship.
non-linear
proportional
non-proportional
decreasing
GPT 3.5
The slope of the graph is 1/2.

The y-intercept of the graph is (0, 2).

The equation of the graph in slope-intercept form is y = 1/2 x + 2.

This is a proportional relationship.
_behindyou_
The constant of proportionality is ?
Write an equation that represents this graph. ?
This is a proportional relationship because the y-intercept is ?
5
1
1/5
2
0
y = 1/5 x
y = 5x
y = 5
y = 0
y = x
(0, 0)
(0, 5)
(0, 1/5)
GPT 3.5
The constant of proportionality is 5.

An equation that represents this graph is y = 5x.

This is a proportional relationship because the y-intercept is 0.

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