Question

Draw a linear graph for the simple interest on 0100 at the rate of 5% p.a. for different number of
years.
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Answer 1

Appropriate Question :-

Draw a linear graph for the simple interest on Rs 100 at the rate of 5% p.a. for different number of years.

$\large\underline{\sf{Solution-}}$

We know that,

Simple Interest on a certain sum of Rs p invested at the rate of r % per annum for n years is given by

$\boxed{\quad\bf{ \:SI \: = \: \dfrac{p \: \times \: r \: \times \: n}{100} \quad}}$

Here,

Principal, p = Rs 100

Rate of interest, r = 5 % per annum

Let time be 'x' years and Simple interest received be Rs y.

So,

$\rm :\longmapsto\:y = \dfrac{100 \times 5 \times x}{100}$

$\rm :\longmapsto\:y = 5x$

Substituting 'x = 5' in the given equation, we get

$\rm :\longmapsto\:y = 25$

Substituting 'x = 10' in the given equation, we get

$\rm :\longmapsto\:y = 50$

Substituting 'x = 15' in the given equation, we get

$\rm :\longmapsto\:y = 75$

Substituting 'x = 20' in the given equation, we get

$\rm :\longmapsto\:y = 100$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 5 & \sf 25 \\ \\ \sf 10 & \sf 50\\ \\ \sf 15 & \sf 75\\ \\ \sf 20 & \sf 100 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points.

➢ See the attachment graph.