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Graph of Simple Interest vs. Number of Years
Here we will learn about the graph of simple interest vs. number of years.
Simple interest on a certain sum is $ 40 per
year.
Then, S = 40 × x, where x is the number of
years.
1. Draw a graph of the above function.
2. From the graph find the value of 5, when
(a) x = 5 (b) x = 6
Solution:
1. The given function is S = 40 ×
x.
Putting x = 1, 2, 3, 4 successively and getting
the corresponding value of S. we get the table given below.
| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| |
Along the x-axis: Take 1 small square = 1 unit.
Along the y-axis: Take 1 small square = 10 units.
Now, on a graph paper, plot the points
A (1, 40), B (2, 80), C (3, 120) and D (4, 160).
Join them successively to get the required graph
line, shown below.
2. Reading off from the graph of simple interest vs. number of years:
(a) On the x-axis, take the point L at x = 5.
Draw LP ⊥ x-axis, meeting the graph at P.
Clearly, PL, = 200 units.
Therefore, x = 5 ⇒ S = 200.
Thus, when x = 5, then S = 200.
(b) On the x-axis, take the point M at x = 6.
Draw QM ⊥ x-axis, meeting the graph at Q.
Clearly, QM = 240 units.
Therefore, x = 6 ⇒ S = 240.
Thus, when x = 6, then S = 240.
Related Concepts:
● Ordered pair of a Coordinate System
● Find the Coordinates of a Point
● Coordinates of a Point in a Plane
● Plot Points on Co-ordinate Graph
● Simultaneous Equations Graphically
● Graph of Perimeter vs. Length of the Side of a Square
● Graph of Area vs. Side of a Square
7th Grade Math Problems
8th Grade Math Practice
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