anonymous
  • anonymous
James has $32 and earns $10 per week for his allowance. What is the initial value for the scenario described?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathstudent55
  • mathstudent55
Initial is what you start with. What does he have already before adding his weekly allowance?
anonymous
  • anonymous
32
anonymous
  • anonymous
@mathstudent55

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More answers

mathstudent55
  • mathstudent55
correct
anonymous
  • anonymous
so is it just 32?
anonymous
  • anonymous
One more question please? @mathstudent55
anonymous
  • 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
  • mathstudent55
The initial value is the point where the line crosses the y-axis.
mathstudent55
  • mathstudent55
The rate of change is the slope of the line.
anonymous
  • anonymous
so is it A?
mathstudent55
  • mathstudent55
A lot of the info is missing from your choices. The initial value is definitely 1.
mathstudent55
  • mathstudent55
What are the slopes of choices A and C?
anonymous
  • 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
  • anonymous
and c is 1 and 5/3
mathstudent55
  • mathstudent55
Ok, just one more thing. What is the rate of change in choice C?
mathstudent55
  • mathstudent55
Oh, I see it now.
mathstudent55
  • mathstudent55
Let's find the slope.
mathstudent55
  • mathstudent55
Pick any two points on the graph. Pick easy points to read where the line passes through grid intersections.
anonymous
  • anonymous
1,4?
mathstudent55
  • mathstudent55
Where the line crosses the y-axis is a good point. What are the coordinates of that point?
anonymous
  • anonymous
1,1?
anonymous
  • anonymous
im confused
mathstudent55
  • mathstudent55
|dw:1436814894788:dw|
mathstudent55
  • mathstudent55
Notice the point marked on the graph.
mathstudent55
  • 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
  • mathstudent55
|dw:1436815025478:dw|
mathstudent55
  • mathstudent55
Notice there was no left or right movement to go from point O to point A.
mathstudent55
  • mathstudent55
|dw:1436815106337:dw|
mathstudent55
  • 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
  • mathstudent55
How far up from the x-axis do you go to get to point A?
anonymous
  • anonymous
so that would be 1?
mathstudent55
  • mathstudent55
|dw:1436815198718:dw|
mathstudent55
  • mathstudent55
Right, so the coordinates of point A are: (0, 1)
mathstudent55
  • mathstudent55
Now we need to look at the original graph and find another easy point to read.
mathstudent55
  • 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
  • anonymous
2
mathstudent55
  • mathstudent55
|dw:1436815357431:dw|
mathstudent55
  • 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
  • mathstudent55
|dw:1436815517410:dw|
mathstudent55
  • mathstudent55
Use the drawing just above here. I forgot one grid line in the earlier drawing.
anonymous
  • anonymous
6?
mathstudent55
  • mathstudent55
Look below. Would you agree that the line passes right by a grid intersection there? |dw:1436815638584:dw|
mathstudent55
  • mathstudent55
Let's call the new point B. The coordinates of point B are (5, 4) |dw:1436815721902:dw|
mathstudent55
  • mathstudent55
Now we need the slope between points A and B.
mathstudent55
  • 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
  • anonymous
thank you
mathstudent55
  • mathstudent55
yw
anonymous
  • anonymous
one more question?
anonymous
  • anonymous
@mathstudent55
anonymous
  • 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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