The equations that could represent the given graph are:
y = 5x - 2
y = - 2/3 * x + 5
2x + 3y = 15
Which equations could represent this graph? Choose all that apply
(2 points)
y = 5x - 2
y = - 2/3 * x + 5
2x + 3y = 15
y = 5x + 8
- 3x + 2y = 5
5 answers
2. Given the table for x, time in minutes and y, distance traveled in meters:
x-time (minutes)
8
5
2
y-distance (meters)
40
25
35
10
9
45
(4 points)
a. Every minute
meters are traveled
b. Write an equation to show the relationship between x and y
c. The relationship is
because the y-intercept
proportional
5y = x
y = x - 5
non proportional
y = 5x
non linear
y = 40x
40y = x
-5
5
40
-40
(5, 25)
(0, 5)
40
# y =x/5
(0, 0)
(5, 0)
x-time (minutes)
8
5
2
y-distance (meters)
40
25
35
10
9
45
(4 points)
a. Every minute
meters are traveled
b. Write an equation to show the relationship between x and y
c. The relationship is
because the y-intercept
proportional
5y = x
y = x - 5
non proportional
y = 5x
non linear
y = 40x
40y = x
-5
5
40
-40
(5, 25)
(0, 5)
40
# y =x/5
(0, 0)
(5, 0)
a. Every minute, 5 meters are traveled.
b. The equation that shows the relationship between x and y is y = x/5.
c. The relationship is proportional because the y-intercept is (0, 0) and the equation is in the form y = kx, where k is the constant of proportionality.
b. The equation that shows the relationship between x and y is y = x/5.
c. The relationship is proportional because the y-intercept is (0, 0) and the equation is in the form y = kx, where k is the constant of proportionality.
9 10
:
Miles Walked
3.
0123456
5 6 7 8 9 10 11 12
Hours
Use the graph to match the responses.
(3 points)
An equation that represents this graph.
The y-intercept
The constant of proportionality
# (0, 2)
(0, 0)
#2
# y = 1/2 * x
(0, 1)
y = x
# (2, 0)
y = 2x
1/2
1
0
:
Miles Walked
3.
0123456
5 6 7 8 9 10 11 12
Hours
Use the graph to match the responses.
(3 points)
An equation that represents this graph.
The y-intercept
The constant of proportionality
# (0, 2)
(0, 0)
#2
# y = 1/2 * x
(0, 1)
y = x
# (2, 0)
y = 2x
1/2
1
0
An equation that represents this graph is y = 1/2 * x.
The y-intercept is (0, 0).
The constant of proportionality is 1/2.
The point (0, 2) does not match any of the responses.
The point (0, 1) matches the equation y = x.
The point (2, 0) matches the equation y = 2x.
The y-intercept is (0, 0).
The constant of proportionality is 1/2.
The point (0, 2) does not match any of the responses.
The point (0, 1) matches the equation y = x.
The point (2, 0) matches the equation y = 2x.