Question

jack’s savings account
amount in savings ($)
number of weeks

1. list the ordered pairs from the graph.

(x, y)
(□,□)
(□,□
(□,□
(□,□
k=
equation:
□ = □ □

Explanation:

Step1: Identify the first point

The first point is at the origin, where \( x = 0 \) and \( y = 0 \). So the ordered pair is \( (0, 0) \).

Step2: Identify the second point

At \( x = 1 \), looking at the y - axis, the value of \( y \) is 5. So the ordered pair is \( (1, 5) \).

Step3: Identify the third point

At \( x = 2 \), the value of \( y \) is 10. So the ordered pair is \( (2, 10) \).

Step4: Identify the fourth point

At \( x = 3 \), the value of \( y \) is 15. So the ordered pair is \( (3, 15) \).

Step5: Identify the fifth point

At \( x = 4 \), the value of \( y \) is 20. So the ordered pair is \( (4, 20) \).

Step6: Identify the sixth point

At \( x = 5 \), the value of \( y \) is 25? Wait, no, looking at the graph, when \( x = 5 \), \( y = 25 \)? Wait, no, the top mark is 30, but the points: let's re - check. Wait, the first point (0,0), then (1,5), (2,10), (3,15), (4,20), (5,25)? Wait, no, the graph shows at x = 5, y is 25? Wait, maybe I misread. Wait, the y - axis has 0,5,10,15,20,25,30. The points are: (0,0), (1,5), (2,10), (3,15), (4,20), (5,25)? Wait, but the problem's boxes: let's see the given blanks. The first ordered pair: (0,0), then (1,5), (2,10), (3,15), (4,20), (5,25). But maybe the problem has a typo or I misread. Wait, the graph: x is number of weeks, y is savings. So the ordered pairs are:

\( (0, 0) \), \( (1, 5) \), \( (2, 10) \), \( (3, 15) \), \( (4, 20) \), \( (5, 25) \) (assuming the last point is (5,25)). But let's go with the visible points.

For the slope \( k \): The slope \( k=\frac{y_2 - y_1}{x_2 - x_1}\). Using (0,0) and (1,5), \( k=\frac{5 - 0}{1 - 0}=5 \).

The equation of the line is \( y = kx \), so \( y = 5x \).

Answer:

Ordered pairs: \( (0, 0) \), \( (1, 5) \), \( (2, 10) \), \( (3, 15) \), \( (4, 20) \), \( (5, 25) \) (depending on the graph's points)

\( k = 5 \)

Equation: \( y=5x \) (so in the boxes: \( y = 5\times x \))