Chapter 2: Introduction to Linear Polynomials

Exercise

Question

Question: 2 (i)

4 / 12

A mobile phone is bought for ₹10,000. Its value decreases by ₹800 every year.

(i) Find the value of the phone after 3 years.

Answer

1
Determine the linear expression for the phone value after t years.
Initial value = ₹10,000
\text{Decrease in value over $t$ years = $₹800t$ $\quad$ ${color:#625b5f}[Yearly decrease = ₹800]{/color}$}
Hence, linear expression for phone value $v$ after $t$ years = $10000 - 800t$
2
Find the value of phone after 3 years using the linear expression.
\text{$10000 - 800 × {color:#2E2EFF}3{/color}$}
⇒
$10000 - 2400$
⇒
$₹7600$
3
Write the value of the phone after 3 years.
Answer: Value of phone after 3 years = ₹7,600
Sponsored320 x 50