Use the 2 highlighted points to find the equation of a trend line in slope intercept form
2 answers:
Answer:
The slope intercept form of trend line is y=200x-399000.
Step-by-step explanation:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
The coordinates of highlighted points are (2000,1000) and (2012,3400).
If a line passes through two points then the slope of the line is
The slope of the trend line is
The slope of the line is 200.
Point slope form of a line is
The slope of the trend line is 200 and it passes through (2000,1000). So, the equation of trend line is
Add 1000 on both the sides.
The slope of the line is 200 and y-intercept is -399000.
Therefore the slope intercept form of trend line is y=200x-399000.
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Answer:
Option D. 1 to 2.5
Step-by-step explanation:
<u><em>The complete question is</em></u>
Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?
Options:
A. –2 to –1
B. –1.5 to 0
C. 0 to 1
D. 1 to 2.5
see the attached figure to better understand the problem
we know that
The quadratic function in the graph represent a parabola open downward
The vertex represent a maximum
The x-coordinate of the vertex is approximately 0.5
The axis of symmetry is x=0.5
The function is increasing for x < 0.5 interval (-∞,0.5)
The function is decreasing for x > 0.5 interval (0.5,∞)
Remember that
If the function is decreasing, the rate of change is negative
If the function is increasing, the rate of change is positive
so
The rate of change is negative in the interval (0.5,∞)
therefore
Option A. –2 to –1 ----> rate of change is positive
Option B. –1.5 to 0 ----> rate of change is positive
Option C. 0 to 1 ---> (0,0.5) the rate of change is positive and (0.5,1) the rate of change is negative
Option D. 1 to 2.5 ---> <em>the rate of change is negative</em>
