Respuesta :
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
[tex]S.I._1=\dfrac{5000\times 5\times 1}{100}=250,[/tex]
the interest for the 2 years will be
[tex]S.I._2=\dfrac{5000\times 5\times 2}{100}=500,[/tex]
and the interest for 3 years will be
[tex]S.I._3=\dfrac{5000\times 5\times 3}{100}=750.[/tex]
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.
Answer: linear function
Step-by-step explanation:
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