Here we will learn about the graph of simple interest vs. number of years.
Simple interest on a certain sum is $ 40 per
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
1. The given function is S = 40 ×
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.`