Marilyn has been notified that her health insurance premiums will increase by 18% next year. She currently pays $523.00/month fo
1 answer:
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Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula to find the slope. Substitute the x and y values of the given points into the formula and solve:
So, the slope is .
2) Use the point-slope formula to write the equation of the line in point-slope form. Substitute values for
,
, and
into the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.
Answer:
Side length and perimeter of 1 face
Area of 1 face and surface area
Step-by-step explanation:
Suppose you are given cube with side length of x units.
Then
Side length = x units
Perimeter = 4x units
Area of 1 face square units
Surface area square units
Volume cubic units
A linear relationship is any equation that, when graphed, gives you a straight line.
Consider all options:
A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function is a straight line.
B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation .
C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation .
D. Area of 1 face and surface area is a linear relationship, because the graph of the function is a straight line.
E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation .