Chapter 2: Introduction to Linear Polynomials

Exercise

Question

Question: 1

1 / 5

A student has ₹500 in her savings bank account. She gets ₹150 every month as pocket money.

How much money will she have at the end of every month from the second month onwards? Find a linear expression to represent the amount she will have in the nth month.

Answer

1
Start with the initial amount of ₹500. Assume that she receives ₹150 every month, starting from the first month.
Answer: The amount in her savings account at the end of each month is:
1st month: 500 + 1 × 150 = 500 + 150 = ₹650
2nd month: 500 + 2 × 150 = 500 + 300 = ₹800
3rd month: ₹500 + 3 × ₹150 = 500 + 450 = ₹950
4th month: ₹500 + 4 × ₹150 = 500 + 600 = ₹1100
And so on ...
2
Use the pattern to write a linear expression for the amount in the nth month.
Answer: Amount in the $n$th month = ₹$(500 + 150n)$
Reason: The initial amount is ₹500, and she receives ₹150 each month. Therefore, after $n$ months, the amount is ₹$(500 + 150n)$.
Sponsored320 x 50