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. 

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:

● Coordinate Graph

● Ordered pair of a Coordinate System

● Plot Ordered Pairs

● Coordinates of a Point

● All Four Quadrants

● Signs of Coordinates

● Find the Coordinates of a Point

● Coordinates of a Point in a Plane

● Plot Points on Co-ordinate Graph

● Graph of Linear Equation

● Simultaneous Equations Graphically

● Graphs of Simple Function

● Graph of Perimeter vs. Length of the Side of a Square

● Graph of Area vs. Side of a Square

● Graph of Distance vs. Time

7th Grade Math Problems

8th Grade Math Practice

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