Question

The graph of the equation representing simple interest is that of:

A. Linear function
B. exponential function
C. quadratic function
D. None of the above

Answer 1

Answer: linear function

Explanation:

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Answer 2

Answer: The answer is (A). Linear function.

Step-by-step explanation: We are to select the correct option for the type of graph of the equation representing simple interest.

We know that Simple interest is based on the principal amount of a loan or deposit.

Let us try to understand with the help of an example.

Let the principal amount be P = Rs. 5000,

rate of Simple interest be r = 5%,

and

'n' be the number of years.

Therefore, the interest for 1 year will be

`S.I._1=(5000* 5* 1)/(100)=250,`

the interest for the 2 years will be

`S.I._2=(5000* 5* 2)/(100)=500,`

and the interest for 3 years will be

`S.I._3=(5000* 5* 3)/(100)=750.`

If we plot these three points (n, S.I.) = (1, 250), (2, 500) and (3, 750) on the co-ordinate plane, then we see that the graph will be a straight line passing through the origin.

Please see the attached figure.

Thus, (A) is the correct option.