Which equations could represent this graph? Choose all that apply

Question

(2 points)

y = 5x - 2

y = - 2/3 * x + 5

2x + 3y = 15

y = 5x + 8

- 3x + 2y = 5

Answer 1

The equations that could represent the given graph are:

y = 5x - 2

y = - 2/3 * x + 5

2x + 3y = 15

Answer 2

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)

Answer 3

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.

Answer 4

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

Answer 5

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.