Chapter 2: Introduction to Linear Polynomials
Chapter 2: Introduction to Linear Polynomials
Exercise
Question
Question: 5 (i)
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If you have ₹800 and you save ₹250 every month, find the amount you have after
(i) 6 months. Express this as a linear pattern.
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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
Find the amount after 6 months using the linear expression.
Amount after 6 months:
⇒
\text{ 800 + 250 × ${color:#2E2EFF}6{/color}$}
⇒
800 + 1500
⇒
2300
4
Write the amount after 6 months and the linear pattern.
Answer: Amount after 6 months = ₹2,300. The linear pattern is 800, 1050, 1300, 1550, 1800, 2050, 2300