Some Mathematical Tools Used In Economics — Flashcards
ICSE · Class 11 · Economics
26 flashcards for Some Mathematical Tools Used In Economics (ICSE Class 11 Economics) to test yourself on key terms and facts.
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What are the main mathematical tools used in economics in this chapter?
Answer
The main mathematical tools are slope of a straight line and equation of a straight line. These tools help in understanding relationships between two variables in economics.
What is a curve in economics and statistics?
Answer
Graphic representation of a functional relationship between two variables is called a curve. A curve can be a straight line, convex, or concave depending upon the behaviour of slope.
Define slope of a line.
Answer
Slope is the ratio of change in Y to change in X between two points of a curve. It is written as Slope = Change in Y / Change in X = ΔY/ΔX. Here Y is the dependent variable and X is the independent va…
Does the slope formula apply only to straight lines?
Answer
No. The definition of slope applies to all types of curves, whether straight, convex, or concave. For a straight line, the slope remains unchanged all along the line.
What is the formula for slope using coordinates of two points?
Answer
If the coordinates of two points are (X1, Y1) and (X2, Y2), then slope is m = (Y2 - Y1)/(X2 - X1) = Vertical difference / Horizontal difference.
How is the slope of a downward sloping line calculated?
Answer
For a downward sloping line, slope = ΔY/ΔX = -AE/EB = -8/2 = -4. This negative value shows that when X rises by 1 unit, Y reduces by 4 units.
What does a negative slope mean?
Answer
The minus sign attached to the value of slope indicates that there is negative functional relation between X and Y. A negative slope means that when one variable rises, the other falls.
What is the slope of an upward sloping line?
Answer
For an upward sloping line, slope = +BC/+AC = +8/+2 = +4. The plus sign indicates a positive relation between X and Y.
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