Chapter 2: Introduction to Linear Polynomials

Exercise

Question

Question: 5 (ii)

7 / 26

If you have ₹800 and you save ₹250 every month, find the amount you have after

(ii) 2 years. Express this as a linear pattern.

Answer

1
Start with ₹800 and add ₹250 for each month to find the amount at the end of each month.
Amount after 1 month = 800 + 250 = ₹1050
Amount after 2 months = 800 + 250 + 250 = ₹1300
Amount after 3 months = 800 + 250 + 250 + 250 = ₹1550
And so on ...
2
Express the amount after n months as a linear expression.
Amount after $n$ months = $800 + 250n$
For example, after 4 months, the amount = $800 + 250 × 4 = ₹1800$.
3
Convert 2 years into months.
2 years = 2 × 12 = 24 months
4
Find the amount after 24 months using the linear expression.
Amount after 24 months (2 years):
⇒
\text{ 800 + 250 × ${color:#2E2EFF}24{/color}$}
⇒
800 + 6000
⇒
6800
5
Write the amount after 2 years and the linear pattern.
Answer: Amount after 2 years = ₹6,800. The linear pattern is 800, 1050, 1300, 1550, 1800, 2050, 2300, ... , 6550, 6800.
Sponsored320 x 50