James has $32 and earns $10 per week for his allowance. What is the initial value for the scenario described?

- anonymous

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- mathstudent55

Initial is what you start with.
What does he have already before adding his weekly allowance?

- anonymous

32

- anonymous

@mathstudent55

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## More answers

- mathstudent55

correct

- anonymous

so is it just 32?

- anonymous

One more question please? @mathstudent55

- anonymous

Identify the initial value and rate of change for the graph shown
(4 points)
Initial value: 1, rate of change
Initial value: , rate of change: 0
Initial value: 1, rate of change
Initial value: , rate of change: 0

##### 1 Attachment

- mathstudent55

The initial value is the point where the line crosses the y-axis.

- mathstudent55

The rate of change is the slope of the line.

- anonymous

so is it A?

- mathstudent55

A lot of the info is missing from your choices.
The initial value is definitely 1.

- mathstudent55

What are the slopes of choices A and C?

- anonymous

sorry
Initial value: 1, rate of change 3/5
Initial value: 3/5 , rate of change: 0
Initial value: 1, rate of change
Initial value: 5/3 , rate of change: 0

- anonymous

and c is 1 and 5/3

- mathstudent55

Ok, just one more thing. What is the rate of change in choice C?

- mathstudent55

Oh, I see it now.

- mathstudent55

Let's find the slope.

- mathstudent55

Pick any two points on the graph. Pick easy points to read where the line passes through grid intersections.

- anonymous

1,4?

- mathstudent55

Where the line crosses the y-axis is a good point.
What are the coordinates of that point?

- anonymous

1,1?

- anonymous

im confused

- mathstudent55

|dw:1436814894788:dw|

- mathstudent55

Notice the point marked on the graph.

- mathstudent55

It is the point where the line crosses the y-axis.
From the origin (the point where the x-and y-axes intersect), how far right or left do you go to that point?

- mathstudent55

|dw:1436815025478:dw|

- mathstudent55

Notice there was no left or right movement to go from point O to point A.

- mathstudent55

|dw:1436815106337:dw|

- mathstudent55

That means the x-coordinate is 0.
Point A has an x-coordinate of 0.
We already have: (0, )
Now we need the y-coordinate of point A.

- mathstudent55

How far up from the x-axis do you go to get to point A?

- anonymous

so that would be 1?

- mathstudent55

|dw:1436815198718:dw|

- mathstudent55

Right, so the coordinates of point A are: (0, 1)

- mathstudent55

Now we need to look at the original graph and find another easy point to read.

- mathstudent55

An easy point to read lies on the intersection of grid lines.
Start at point A, start going up to the right along the line, and tell me what is the first point along the line that is on a grid intersection?

- anonymous

2

- mathstudent55

|dw:1436815357431:dw|

- mathstudent55

Look at my figure above.
Going up to the right on the line, which is the first point on the line that is on a grid intersection?
Copy my drawing and put a mark on the point you think it is.

- mathstudent55

|dw:1436815517410:dw|

- mathstudent55

Use the drawing just above here. I forgot one grid line in the earlier drawing.

- anonymous

6?

- mathstudent55

Look below. Would you agree that the line passes right by a grid intersection there?
|dw:1436815638584:dw|

- mathstudent55

Let's call the new point B.
The coordinates of point B are (5, 4)
|dw:1436815721902:dw|

- mathstudent55

Now we need the slope between points A and B.

- mathstudent55

Point A(0, 1)
Point B(5, 4)
Slope = (difference in y-coordinates)/(difference in x-coordinates)
Slope = (4 - 1)(5 - 0) = 3/5
The rate of change is 3/5, and the initial value is 1.

- anonymous

thank you

- mathstudent55

yw

- anonymous

one more question?

- anonymous

@mathstudent55

- anonymous

Bentley had $40 in birthday money in her piggy bank. She spent $10 on new flip-flops, then got $20 for her allowance and did not spend any of that money for 1 week. Finally, she spent $15 on new sunglasses.
Which part of the scenario is best represented by a linear increasing interval?

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