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